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On the behavior of the solutions to autonomous linear difference equations with continuous variable

Christos G. Philos; Ioannis K. Purnaras — 2007

Archivum Mathematicum

Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.

Positive solutions for systems of generalized three-point nonlinear boundary value problems

Johnny Henderson; Sotiris K. Ntouyas; Ioannis K. Purnaras — 2008

Commentationes Mathematicae Universitatis Carolinae

Values of $λ$ are determined for which there exist positive solutions of the system of three-point boundary value problems, $u^{''} + λ a (t) f (v) = 0$ , $v^{''} + λ b (t) g (u) = 0$ , for $0 < t < 1$ , and satisfying, $u (0) = β u (η)$ , $u (1) = α u (η)$ , $v (0) = β v (η)$ , $v (1) = α v (η)$ . A Guo-Krasnosel’skii fixed point theorem is applied.

Corrigendum to: Positive solutions for systems of generalized three-point nonlinear boundary value problems

Johnny Henderson; Sotiris K. Ntouyas; Ioannis K. Purnaras — 2008

Commentationes Mathematicae Universitatis Carolinae

Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.

Purnaras, Ioannis K. — 2009

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations.

Philos, Christos G.; Purnaras, Ioannis K. — 2004

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Currently displaying 1 – 8 of 8

On the behavior of the solutions to autonomous linear difference equations with continuous variable

Positive solutions for systems of generalized three-point nonlinear boundary value problems

Corrigendum to: Positive solutions for systems of generalized three-point nonlinear boundary value problems

Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.

Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations.

On periodic linear neutral delay differential and difference equations.

Behavior of the solutions to second order linear autonomous delay differential equations.

An asymptotic property of solutions to linear nonautonomous delay differential equations.