Nonlocal semilinear evolution equations without strong compactness: theory and applications

DOI10.1186/1687-2770-2013-60zbMath1288.34056OpenAlexW2154455769WikidataQ59293369 ScholiaQ59293369MaRDI QIDQ2444604

Valentina Taddei, Luisa Malaguti, Irene Benedetti

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-60

zbMATH Keywords

fixed point theoremsdiffusion problemsemilinear evolution equationnonlocal conditionage-structure population modeloptimal feedback control problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Set-valued operators (47H04) Evolution inclusions (34G25) Control problems involving ordinary differential equations (34H05) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (15)

Evolution problems with nonlinear nonlocal boundary conditions ⋮ On generalized boundary value problems for a class of fractional differential inclusions ⋮ Semilinear delay evolution equations with measures subjected to nonlocal initial conditions ⋮ An existence result for a class of delay inclusions involving measures, subjected to nonlocal initial data ⋮ Evolution fractional differential problems with impulses and nonlocal conditions ⋮ Existence for semilinear impulsive differential inclusions without compactness ⋮ Well-posedness for a system of integro-differential equations ⋮ On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space ⋮ An approximation solvability method for nonlocal semilinear differential problems in Banach spaces ⋮ Controllability for systems governed by semilinear evolution inclusions without compactness ⋮ Nonlocal diffusion second order partial differential equations ⋮ Nonlocal problems for differential inclusions in Hilbert spaces ⋮ Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay ⋮ Existence theory for semilinear evolution inclusions involving measures ⋮ Nonlocal problems in Hilbert spaces

Cites Work

• Two-point b.v.p. for multivalued equations with weakly regular r.h.s.
• Second-order characteristic schemes in time and age for a nonlinear age-structured population model
• A class of nonlinear evolution equations subjected to nonlocal initial conditions
• Semilinear differential inclusions via weak topologies
• Existence of mild solutions for semilinear evolution equations with non-local initial conditions
• Age-dependent population dynamics and translation semigroups
• On the semigroup for age dependent population dynamics with spatial diffusion
• Linear functionals on certain spaces of abstractly valued functions
• A degenerate nonlinear diffusion problem in age-structured population dynamics
• Existence and optimal control for periodic parabolic equations with nonlocal terms
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Travelling front solutions of a nonlocal Fisher equation

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