Monotone iterative techniques for time-dependent problems with applications

DOI10.1006/jmaa.1999.6429zbMath0935.34052OpenAlexW2083131580MaRDI QIDQ1306846

V. Pereyra

Publication date: 5 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6429

zbMATH Keywords

upper and lower solutionsmonotone iterative techniquesemigroups of operators

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Population dynamics (general) (92D25) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)

Related Items

The convergence of shooting methods for singular boundary value problems ⋮ Monotone iterative techniques for parameterized BVPs of abstract semilinear evolution equa\-tions ⋮ Comparison results for a kind of impulsive parabolic equations with application to population dynamics ⋮ Nonlinear boundary value problems for impulsive differential equations with causal operators ⋮ ESTIMATES OF SOLUTIONS OF IMPULSIVE PARABOLIC EQUATIONS AND APPLICATION ⋮ Existence results for impulsive hyperbolic differential inclusions

Cites Work

• Positive one-parameter semigroups on ordered Banach spaces
• Semigroups of linear operators and applications to partial differential equations
• Extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces
• An abstract monotone iterative technique
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
• On an abstract competition model and applications
• Nonlinear elliptic boundary-value problems in unbounded domains
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Comparison results for systems of impulse parabolic equations with applications to population dynamics
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