Causal difference equations with upper and lower solutions in the reverse order

DOI10.1186/s13662-019-2078-4zbMath1459.39026OpenAlexW2937450803WikidataQ128070249 ScholiaQ128070249MaRDI QIDQ1739849

Wen-Li Wang, Jing-Feng Tian

Publication date: 29 April 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2078-4

zbMATH Keywords

extremal solutionsupper and lower solutions methodcausal operatorscoupled extremal quasi-solutions

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary value problems for difference equations with causal operators
• Generalized monotone iterative method for nonlinear boundary value problems with causal operators
• Mathematical models for the control of a pest population by infected pest
• Differential equations involving causal operators with nonlinear periodic boundary conditions
• Boundary value problems involving upper and lower solutions in reverse order
• Theory of causal differential equations
• Optimal existence conditions for \(\varphi\)-Laplacian equations with upper and lower solutions in the reversed order
• Existence and comparison results for difference \(\phi\)-Laplacian boundary value problems with lower and upper solutions in reverse order
• Periodic boundary value problems for first-order impulsive difference equations with time delay
• Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
• Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
• Some existence results for functional equations with causal operators.
• Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions
• Note on common fixed point theorems in fuzzy metric spaces using the CLRg property
• Existence of solutions for a coupled system of difference equations with causal operators
• Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order
• Differential equations with causal operators in a Banach space
• Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order
• Monotone iterative technique for periodic boundary value problems with causal operators
• The existence of periodic solutions of higher order nonlinear periodic difference equations
• Difference equations involving causal operators with nonlinear boundary conditions
• Nonlinear boundary value problems for impulsive differential equations with causal operators
• First order difference equations with maxima and nonlinear functional boundary value conditions