Asymptotic behaviour of second-order difference equations

DOI10.1017/S1446181100013742zbMath1061.39007MaRDI QIDQ4819914

Stevo Stević

Publication date: 5 October 2004

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

asymptotic behavioursecond order difference equations

Mathematics Subject Classification ID

Related Items (17)

\(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients ⋮ Asymptotic behavior of second-order dynamic equations ⋮ Oscillatory criteria for the two-dimensional difference systems ⋮ Asymptotic behavior of solutions to difference equations of neutral type ⋮ Asymptotic properties of solutions to discrete Volterra type equations ⋮ Existence of bounded positive solutions for a system of difference equations ⋮ Non-oscillation of a class of third order nonhomogeneous difference equations ⋮ Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients ⋮ Asymptotic properties of solutions to difference equations of Sturm-Liouville type ⋮ Classification of non-self-adjoint singular Sturm-Liouville difference equations ⋮ Explicit bounds for second-order difference equations and a solution to a question of Stević ⋮ Oscillation and nonoscillation of solutions of second-order difference equations involving generalized difference ⋮ Properties of solutions of generalized Sturm-Liouville discrete equations ⋮ Dynamical behavior of a \(p\)-dimensional system of nonlinear difference equations ⋮ Properties of critical and subcritical second order self-adjoint linear equations ⋮ Bounded solutions to nonhomogeneous linear second-order difference equations ⋮ Nonoscillatory solutions to second-order neutral difference equations

Cites Work

• Unnamed Item
• Numerical methods and existence theorems for ordinary differential equations
• Sublinear perturbations of the differential equation \(y^{(n)}=0\) and of the analogous difference equation
• Orthogonal polynomials and measures with finitely many point masses
• On the discrete analogues of some generalizations of Gronwall's inequality
• Discrete and continuous boundary problems
• The stability of solutions of linear differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Linear perturbations of a nonoscillatory second order difference equation

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