Monotone iterative techniques for parameterized BVPs of abstract semilinear evolution equa\-tions

DOI10.1016/S0898-1221(03)90214-8zbMath1086.34053OpenAlexW1975839591MaRDI QIDQ597252

Zhicheng Wang, Lianglong Wang

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90214-8

zbMATH Keywords

coneMonotone iterative techniqueParameterized boundary value problemsPositive \(C_0\)-semigroupsRegular positiveSemilinear evolution equationsUpper and lower solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20)

Related Items (5)

Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces ⋮ Existence of mild solutions for impulsive fractional evolution equations with periodic boundary conditions ⋮ Iterative method for a new class of evolution equations with non-instantaneous impulses ⋮ Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions ⋮ MIXED MONOTONE ITERATIVE TECHNIQUE FOR SEMILINEAR IMPULSIVE FRACTIONAL EVOLUTION EQUATIONS

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Monotone iterative techniques for time-dependent problems with applications
• Parametrized singular boundary value problems
• Monotone iterations for differential equations with a parameter
• Theory and applications of partial functional differential equations
• Monotone iterative methods for boundary value problems
• Monotone iterations for first order differential equations with a parameter
• An abstract monotone iterative technique
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On a class of functional boundary value problems for the equation x = f(t,x,x',x,λ)
• Convergence of monotone iterations for a differential problem
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