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° Books
| 1. Dynamics
of Second Order Rational Difference Equations, with Open Problems and
Conjectures, Chapman&Hall/CRC Press, 2001. (with G. Ladas)
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| Click here for short description www.amazon.com barnes and noble www.crcpress.com | |
| 2. Discrete
Dynamical Systems and Difference Equations with Mathematica, Chapman&Hall/CRC Press, 2002. (with O. Merino) |
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| Click here for short description www.amazon.com barnes and noble www.crcpress.com |
° Journals
2. On the Asymptotic Behavior of Second Order Differential Inequalities with Alternating Coefficients, Math. Nachr. 98 (1980), 317-327, (with M.K. Grammatikopoulos).
3. Oscillation Theorems for Nonlinear Second Order Differential Inequalities, Fasciculi Mathematici, 150 (1981), 37-50.
4. On the Nonexistence of L2 Solutions of n-th Order Differential Equations, Proc. Edinburgh Math. Soc., 24 (1981), 131-136, (with M.K. Grammatikopoulos).
5. Summability Methods in Second Order Nonlinear Oscillations, Glasnik Mat. 17 (1982), 39-58.
6. Oscillatory and Nonoscillatory Behavior of Solutions of Certain Nonlinear Differential Equations of n-th Order, Radovi ANU BiH, Odj. Pri. i Mat. Nauka LXIX, 20 (1982), 42-54.
7. On Certain Second Order Nonlinear Differential Inequalities, Radovi ANU BiH, Odj. Pri. Mat. Nauka LXIX, 20 (1982), 101-113.
8. Hille-Wintner Type Comparison Theorems for Differential Inequalities, Math. Nachr. 108 (1982), 7-21.
9. On a Result of Etgen and Lewis, Czechoslovak Math. J.,32 (107) (1982), 373-376.
10. Asymptotic Analysis of a Nonlinear Second Order Difference Equation I, Zbornik Radova PMF Novi Sad, 12 (1982), 73-92, (with M. Budincevic).
11. On the Oscillation of Second Order Differential Inequalities, Radovi ANU BiH, Odj. Prir. i Mat. Nauka LXXIV, 22 (1983), 21-31.
12. On Oscillations of Nonlinear Partial Differential Inequalities, Radovi ANU BiH, Odj. Prir. i Mat. Nauka LXXIV, 22 (1983), 67-72.
13. Oscillations and Asymptotic Behavior of Nonlinear Differential Inequalities and Equations with Deviating Argument, Ukrain. Mat. Z. 36 (3) (1984),309-316, (In Russian), (with M.K. Grammatikopoulos).
14. Stability of Asymptotic Behavior of Solutions of Nonlinear Differential Inequalities with Respect to the Argument Delay, Ukrain. Mat. Z. 36 (3) (1984),437-443, (In Russian), (with M.K. Grammatikopoulos).
15. Maintenance of Asymptotic Behavior of Nonlinear Differential Inequalities under the Effect of Delay, Proc. IX International Conf. on Nonlinear Oscillations, Kiev 1981, Naukova Dumka 1984, Vol. 2, 199-202, (with M.K. Grammatikopoulos).
16. Maintenance of Asymptotic Behavior of Nonlinear Differential Inequalities under the Effect of Advanced and Mixed Argument, Acta Math. Hungarica 44 (1-2), (1984), 21-35.
17. First Order Functional Differential Inequalities with Oscillating Coefficients, Nonlinear Analysis TMA 8 (9), (1984), 1043-1054, (with M.K. Grammatikopoulos).
18. Asymptotic Analysis of Nonlinear Second Order Difference Equations , An. Stiint. Univ. "Al. I. Cuza" Iasi, Sect. 1a Mat. 30 (1984), 39-52, (with M. Budincevic).
19. Harmless and Harmful Retarded and Advanced Actions in Mathematical Models in Biology, Proc. of IV Yugoslav Conf. on Applied Math., Split 1984, (1985), 11-18.
20. Oscillations and Asymptotic Properties of First Order Differential Equations and Inequalities with a Deviating Argument, Math. Nachr. 123 (1985), 7-21, (with M.K. Grammatikopoulos).
21. Asymptotic Properties of Second Order Differential Inequalities with a General Deviating Argument, Fasciculi Mathematici 15 (1984), 83-96.
22. Asymptotic Behavior of Solutions of Certain Differential Equations and Inequalities of Second Order, Radovi Matematicki 1 (2) (1985), 275-295.
23. Asymptotic Behavior of Solutions of Elliptic Differential Equations via Ordinary Differential Inequalities, ZAMM 66 (1985), 374-376.
24. Asymptotic Behavior of Solutions of Generalized Emden-Fowler Equation with Deviating Argument, Proc. of the Colloquium on Differential Equations (Szeged, 1984), North Holland, (1987), 615-632.
25. On Oscillations of Nonlinear Delay Equations, Quart. Appl. Math. 45 (1987), 155-164, (with G. Ladas and A. Meimaridou).
26. Necessary and Sufficient Condition for Oscillations of Neutral Differential Equations, J. Austral. Math. Soc. Series B, 28 (1987), 362-375, (with G. Ladas and A. Meimaridou).
27. Stability of Solutions of Linear Delay Differential Equations, Proc. Amer. Math. Soc. 100 (1987), 433-441, (with G. Ladas and A. Meimaridou).
28. Oscillations of the Sunflower Equation, Quart. Appl. Math. 46(1988), 23-28, (with G. Ladas).
29. Linearized Oscillations Theory for Second Order Differential Equations, Proc. of the Conference; Oscillations, Bifurcations and Chaos, Toronto, July 1986, CMS (8), 261-268, (with G. Ladas).
30. Sturm Comparison Theorems for Neutral Differential Equations, Proc. of the Conference; Oscillations, Bifurcations and Chaos, Toronto, July 1986, CMS (8), 163-170, (with E. A. Grove and G. Ladas).
31. Sufficient Conditions for Oscillations and Nonoscillations of Neutral Equations, J. Differential Equations, 68 (1987), 373-382, (with E.A. Grove and G. Ladas).
32. Linearized Oscillations in Population Dynamics, Bull. Math. Biol. 49 (5) (1987), 615-627, (with G.Ladas).
33. Lp-Perturbations of Linear Differential Equations, Glasnik Mat., 22 (1987), 309-325, (with M. Budincevic).
34. Oscillations of Second Order Linear Delay Differential Equations, Applicable Anal. 27 (1988), 109-123, (with G. Ladas and Y.G. Sficas).
35. Some Comparison and Oscillation Results for First Order Differential Equations and Inequalities with a Deviating Argument, J. Math. Anal. Appl., 131 (1988), 67-84, (with M.K. Grammatikopoulos).
36. Time Lags in a "Food Limited" Population Model, Applicable Anal. 31 (1988), 225-237 (with K. Gopalsamy and G. Ladas).
37. Oscillations in a Periodic Delay Differential Equations, Proc. of Int. Conf. on Differential Equations, Columbus, OH, March 1988, 348-352, (with K. Gopalsamy and G. Ladas).
38. Global Attractivity in Population Dynamics, Comput. Math. Appl., 19 (1989), 925-928, (with G. Ladas and Y.G. Sficas).
39. Oscillations of Neutral Equations with Variable Coefficients, Radovi Matematicki, 5 (2) (1989), (with Q. Chuanxi and G. Ladas).
40. A. Myskis-Type Comparison Result for Neutral Equations, Math. Nachr., 146 (1990), 195-206, (with E. Grove and G. Ladas).
41. Oscillations of a System of Delay Logistic Equations, J. Math. Anal. Appl., 146 (1990), 192-202, (with K. Gopalsamy and G. Ladas).
42. Comparison Results for Oscillations of Delay Equations, Annal. Mat. Pura Appl., 156 (1990), 1-14, (with G. Ladas and Y.G. Sficas).
43. Environmental Periodicity and Time Delays in a "Food-Limited" Population Model, J. Math. Anal. Appl., 147 (1990), 545-555, (with K. Gopalsamy and G. Ladas).
44. On a Logistic Equation with Piecewise Constant Argument, Differential and Integral Equations, 4 (1991), 215-223, (with K. Gopalsamy and G. Ladas).
45. Oscillations and Global Attractivity in Respiratory Dynamics, Dynamics and Stability of Systems, 4(2) (1989), 131-139, (with K. Gopalsamy and G. Ladas).
46. Oscillations and Global Attractivity in Models of Haematopoiesis, Dynamics and Differential Equations, 2(2) (1990), 117-132, (with K. Gopalsamy and G. Ladas).
47. Global Attractivity in Nicholson's Blowflies, Applicable Anal.,43 (1992), 109-124, (with G. Ladas and Y.G. Sficas).
48. Perturbations of a Linear Differential Equation, Zbornik Radova PMF Novi Sad, 23 (1993), 113-120, (with M. Budincevic).
49. l p-perturbations of a Linear Difference Equation, Zbornik Radova PMF Novi Sad, 23 (1993), 157-166, (with M. Budincevic).
50. Oscillation of the Euler Differential Equation with Delay, Czechoslovak Math. J., 45(120) (1995), 1-6.
51. On the Recursive Sequence xn+1 = (a xn + b xn-1 )/(g xn + d xn-1) , Math. Sci. Res. Hot-Line 2(1998), no.5, 1-16 (with G. Ladas and W.S. Sizer).
52. Existence of Nonoscillatory Solution of Second Order Linear Neutral Delay Equation, J. Math. Anal. Appl., 228 (1998), 436-448 (with S. Hadziomerspahic).
53. Linearized Oscillations for Neutral Equations with Positive and Negative Coefficients, Radovi Matematicki, 9 (1) (1999), 33-49, (with S. Hadziomerspahic).
54. On the Recursive Sequence xn+1 = (a + b xn-1 )/(g + xn ) , Math. Sci. Res. Hot-Line 4(2) (2000), 1-11 (with C. Gibbons and G. Ladas).
55. Necessary and Sufficient Conditions for the Oscillation of a Second Order Linear Differential Equation, Math. Nachr., 213(2000), 105-115 (with C. Ljubovic).
56. The Asymptotic Behavior of Nonoscillatory Solutions of Some Nonlinear Differential Equations, Nonlinear Analysis TMA, 42(5), (2000), 821-833, (with C. Ljubovic).
57. All Solutions of the Equilibrium Capillary Surface Equation are Oscillatory, Appl. Math. Lett. 13 (5)(2000), 107--110 (with C. Ljubovic).
58. Invariants and Related Liapunov Functions for Difference Equations, Appl. Math. Lett. 13 (7)(2000), 1-8.
59. On the Recursive Sequence xn+1 = (a xn + b xn-1 )/(A + xn ) , J. Differ. Equations Appl. 6(5) (2000), 563-576 (with G. Ladas and N. R. Prokup).
60. Open Problems and Conjectures: On Period Two Solutions of xn+1 = (a + b xn + g xn-1 )/(A + B xn + C xn-1 ) , J. Differ. Equations Appl. 6(5) (2000), 641-646 (with G. Ladas).
61. On the Recursive Sequence yn+1 = (p + yn-1 )/(q yn + yn-1 ) , J. Math. Anal. Appl., 251 (2000), 571-586 (with W. A. Kosmala, G. Ladas, and C. T. Teixeira).
62. A Rational Difference Equation , Comput. Math. Appl. 41 (2001), 671-678 (with G. Ladas and N. R. Prokup).
63. On the Recursive Sequence yn+1 = (a + b xn )/(B xn + C xn-1 ) , Nonlinear Analysis TMA, 47(2001), 4603-4614 (with K. Cunningham, G. Ladas, and S. V. Valicenti).
64. Existence of Nonoscillatory Solution for Linear Neutral Delay Equation, Fasciculi Mathematici, 32 (2001), 61-72. (with S. Hadziomerspahic).
65. On the Dynamics of xn+1 = (a + b xn + g xn-1 )/(A + B xn ) , New Trends in Difference Equations, Proc. Fifth Internat. Conf. Difference Equations, (Temuco, Chile, 2000), 141-158, Francis & Taylor, London and New York, 2002 (with C. Gibbons and G. Ladas).
66. On the Trichotomy Character of xn+1 = (a + b xn + g xn-1 )/(A + xn ) , J. Differ. Equations Appl. 8 (2002), 75-92 (with C. Gibbons, G. Ladas, and H. Voulov).
67. A Coupled System of Rational Difference Equations , Comput. Math. Appl. 43 (2002), 849-867 (with D. Clark).
68. On the Stability of Solutions of Certain Systems of Differential Equations with Piecewise Constant Argument, Czechoslovak Math. J., 52(127) (2002), 449-461 (with S. R. Grace and H. El-Metwally).
69. Asymptotic Behavior of Two Dimensional Linear Fractional System of Difference Equations, Radovi Matematicki, 11 (2002), 59-78. (with M. Nurkanovic).
70. Asymptotic Behavior of Certain Third Order Rational Difference Equation, Radovi Matematicki, 11 (2002), 79-101 (with S. Kalabusic).
71. Global Asymptotic Behavior of a Two-dimensional System of Difference Equations Modeling Cooperation , J. Differ. Equations Appl. 9 (2003), 149-159 (with M. Nurkanovic).
72. Global Asymptotic Behaviour of a Two Dimensional Difference Equation Modeling Competition, Nonlinear Analysis TMA, 52/7(2003), 1765-1776 (with D. Clark and J. F. Selgrade).
73. Asymptotics of the Rational Difference Equation of Third Order, J. Concrete Applicable Math., 1 (2003), 151-164 (with S. Kalabusic and C. B. Overdeep).
74. Nonoscillatory Solutions for System of Neutral Delay Equation, Nonlinear Analysis TMA, 54(2003), 63-81. (with H. El-Metwally and S. Hadziomerspahic).
75. On the Recursive Sequence xn+1
= (b xn-1 + d xn-2 )/(C xn-1 + D xn-2), J.
Differ. Equations Appl., 9(2003), 701-720(with S. Kalabusic).
76. The Dynamics of xn+1 = (a + b xn )/(A + Bxn + Cxn-1 ), Comput. Math. Appl. 45 (2003), 1087-1099 (with G. Ladas, L. F. Martins, and I. W. Rodrigues).
77. Open Problems and Conjectures: On the Recursive Sequence xn+1 = pn + xn-1 / xn , J. Differ. Equations Appl. 9 (2003),1053-1056 (with G. Ladas and C. B. Overdeep).
78. Rate of Convergence of Solutions of Rational Difference Equation of Second Order, Advances in Difference Equations, 1 (2004), 121-140 (with S. Kalabusic).
79. Stability of Lyness' Equation with Period-three Coefficient, Radovi Matematicki, 12 (2004), 153-161 (with Z. Nurkanovic).
80. On the Dynamics of xn+1 = pn + xn-1 / xn with a Period-two Coefficient, J. Differ. Equations Appl. 10 (2004),905-914 (with G. Ladas and C. B. Overdeep).
81. On the Recursive Sequence xn+1 = (b xn-l + d xn-k )/(C xn-l + D xn-k), J.
Differ. Equations Appl., 10(2004), 915-928(with S. Kalabusic and C. B. Overdeep).
82. Compensatory versus Overcompensatory Dynamics in Density-dependent Leslie Models, J. Differ. Equations Appl. 10 (2004), 1251-1266 (with A.-A. Yakubu).
83. Progress Report on Rational Difference Equations, J.
Differ. Equations Appl. 10 (2004), 1313-1327
(with E. A. Grove and G. Ladas).
84. On the dynamics of xn+1 = (p
xn-1
+ xn-2 ) / xn , Math. Sci. Res. J. 8
(2004),137-146 (with C. A. Clark and S. Valicenti).
85. Stability of the Gumowski–Mira equation with period-two coefficient, J. Math. Anal. Appl., 307(2005), 292-304 (with C. A. Clark and E. J. Janowski).
86. The amplitudes of nonlinear oscillations, Appl. Math. Lett. 18 (2005), 505-511 (with N. Moussa).
87. Asymptotic Behavior of a System of Linear Fractional Difference Equations, J. Ineq. Appl. (2005), 127-144 (with M. Nurkanovic).
88. Global behavior of a three-dimensional linear
fractional system of difference equations, J. Math. Anal.
Appl., 310(2005),
(with Z. Nurkanovic).
89. On a System of Rational Difference Equations, J. Differ. Equations Appl. 11 (2005), 565-580 (with C. A. Clark and J. F. Selgrade).
90. A Global Attractivity Result for Maps with Invariant Boxes, Discrete Cont. Dynamical Syst. Ser. B 6 (2006), 97-110 (with O. Merino).
91. Global Attractivity of the Equilibrium of xn+1 = (p xn + xn-1 ) / (q xn + xn-1 ) for q<p, J. Differ. Equations Appl. 12 (2006), 101-108 (with O. Merino).
92. Competitive-Exclusion versus Competitive-Coexistence for Systems in the Plane, Discrete Cont. Dynamical Syst. Ser. B 6 (2006), 1141-1156 (with O. Merino).
93. A Note on Unbounded Solutions of a Class of Second Order Rational Difference Equations, J. Differ. Equations Appl. 12 (2006), 777-781, (with O. Merino).94. Asymptotic behavior of a competitive system of linear fractional difference equations,
Advances in Difference Equations, 3(2006), 1-13 (with M.
Nurkanovic).
95. Convergence to
a Period-Two Solution for a Class of Second Order Rational Difference
Equations, Proc. Tenth International Conf. Difference Equations,
Munich(Germany), (2007), 344-353 (with O. Merino).
96. Stability analysis of Pielou's equation with period-two coefficient, J. Differ. Equations Appl., 13 (2007), 383-406 (with O. Merino).
97. Stability of the k-th Order Lyness' Equation with a Period-k Coefficient, Int. J. of Bifurcations and Chaos, 17 (2007), 143-152 (with E. J. Janowski and Z. Nurkanovic).
98. Global Asymptotic Behavior of xn+1 = (p xn + xn-1 ) / (r + q xn + xn-1 ), Advances in Difference Equations, 4(2007), Article ID 41541 pp. 22 (with A. Brett)
99. Stability of Lyness' Equation with Period-Two Coefficient via KAM Theory, J. Concr. Appl. Math., 6(2008), 229-245 (with Z. Nurkanovic).
100. Global Dynamics of a Rational System of Difference Equations in the Plane, Comm. Appl. Nonlinear Anal., 15(2008), 71-84 (with Dz. Burgic and M. Nurkanovic).
101. Non-hyperbolic Dynamics for Competitive Systems in the Plane and Global Period-doubling Bifurcations,
Adv. Dyn. Syst. Appl. 3(2008), (to appear) (with Dz. Burgic and S.
Kalabusic).
102. Period-Two Trichotomies of a Difference Equation of Order Higher than Two, Sarajevo Journal of Mathematics. 4(2008), (to appear) (with Dz. Burgic and S. Kalabusic).
103. Rational Systems in the Plane - Open Problems and Conjectures, J. Differ. Equations Appl., 14 (2008), (to appear) (with E. Camouzis, G. Ladas and O. Merino).