Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations

DOI10.1016/0096-3003(90)90014-TzbMath0715.39001OpenAlexW2050569347MaRDI QIDQ752338

István Győri

Publication date: 1990

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90014-t

zbMATH Keywords

initial value problemcharacteristic equationmaximal invariant setlinear homogeneous difference equationnontrivial invariant conespositive root

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (12)

On the behavior of the solutions for linear autonomous neutral delay difference equations ⋮ Asymptotic behaviour of nonlinear difference equations ⋮ Asymptotic Behavior of a Poincaré Difference Equation ⋮ Asymptotic representation of the solutions of linear Volterra difference equations ⋮ On the Behavior of the Solutions for Certain Linear Autonomous Difference Equations ⋮ Periodic boundary value problems for first and second order discrete systems ⋮ Some results on the behavior of the solutions of a linear delay difference equation with periodic coefficients ⋮ The behavior of the solutions of periodic linear neutral delay difference equations ⋮ On linear Volterra difference equations with infinite delay ⋮ On the behavior of the solutions to periodic linear delay differential and difference equations ⋮ On non-autonomous linear difference equations with continuous variable ⋮ Asymptotic behavior of a nonhomogeneous linear recurrence system

Cites Work

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• Conditions for Oscillation of Difference Equations with Applications to Equations with Piecewise Constant Arguments
• Oscillatory Second Order Linear Difference Equations and Riccati Equations
• Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
• Asymptotic behavior of solutions of differential-difference equations.

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