Fixed point theorems for systems of equations in ordered Banach spaces with applications to differential and integral equations

DOI10.1016/0362-546X(95)00024-PzbMath0856.47033OpenAlexW2048953803MaRDI QIDQ4883607

Abderrahim Zertiti, Antonio Cañada Villar

Publication date: 5 September 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00024-p

zbMATH Keywords

differential equationsfixed point theoremsUryson integral equations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Systems of nonlinear integral equations (45G15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (2)

Unnamed Item ⋮ A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications

Cites Work

• Existence of positive solutions for elliptic systems - degenerate and nondegenerate ecological models
• On positive solutions of some pairs of differential equations. II
• Positive solutions to general elliptic competition models
• A periodicity threshold theorem for epidemics and population growth
• On periodic solutions of a delay integral equation modelling epidemics
• Elliptic systems with nonlinear diffusion in population dynamics
• Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations
• A note on a nonlinear integral equation from the theory of epidemics
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Topological methods in the study of positive solutions for some nonlinear delay integral equations
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