Numerical Dynamics of Integrodifference Equations: Global Attractivity in a $C^0$-Setting

DOI10.1137/18M1214469zbMath1429.45004OpenAlexW2971753677MaRDI QIDQ5233113

Christian Poetzsche

Publication date: 16 September 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1214469

zbMATH Keywords

collocation methodglobal attractivitypiecewise linear approximationHammerstein operatorUrysohn operatordegenerate kernel methodintegrodifference equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Numerical nonlinear stabilities in dynamical systems (65P40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Integro-ordinary differential equations (45J99)

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Cites Work

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• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Perturbation of a globally stable steady state
• The Numerical Solution of Integral Equations of the Second Kind
• Solving Nonlinear Equations with Newton's Method
• $L^\infty $-Multivariate Approximation Theory
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