Monotonicity and discretization of Hammerstein integrodifference equations
DOI10.3934/jcd.2022023OpenAlexW4293216509MaRDI QIDQ2696121
Magdalena Nockowska-Rosiak, Christian Poetzsche
Publication date: 6 April 2023
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2022023
monotonicityconcavityglobal asymptotic stabilityNemytskii operatorHammerstein operatordegenerate kernel methodsubhomogeneityintegrodifference equation
Integral operators (45P05) Integral operators (47G10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Theoretical approximation of solutions to integral equations (45L05) Monotone flows as dynamical systems (37C65)
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Cites Work
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- A monotonicity preserving, nonlinear, finite element upwind method for the transport equation
- Positive dynamical systems in discrete time. Theory, models and applications
- Order-preserving nonautonomous discrete dynamics: attractors and entire solutions
- Properties of some density-dependent integrodifference equation population models
- Discrete-time growth-dispersal models
- A limit set trichotomy for positive nonautonomous discrete dynamical systems
- Runge-Kutta methods for monotone differential and delay equations
- Monotone random systems theory and applications
- Integral equations. Theory and numerical treatment
- Integral equations convertible to fixed point equations of order-preserving operators
- Linearized stability in the context of an example by Rodrigues and Solà-Morales
- Monotonicity and discretization of Urysohn integral operators
- Positivity and discretization of Fredholm integral operators
- Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equations
- The importance of census times in discrete-time growth-dispersal models
- A Comparison of Dispersal Strategies for Survival of Spatially Heterogeneous Populations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- The Numerical Solution of Integral Equations of the Second Kind
- On the Approximation of Fixed Points of Nonlinear Compact Operators
- A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE
- Integrodifference Equations in Spatial Ecology
- Monotone maps: a review
- The Numerical Evaluation of Fixed Points for Completely Continuous Operators
- Dynamical systems in population biology
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