An approximation solvability method for nonlocal semilinear differential problems in Banach spaces

DOI10.3934/dcds.2017128zbMath1357.35272OpenAlexW2594530578MaRDI QIDQ515239

Valentina Taddei, Nguyen Van Loi, Irene Benedetti

Publication date: 13 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017128

zbMATH Keywords

degree theorynonlocal conditionnonlocal diffusionsemilinear differential equationapproximation solvability method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Integro-partial differential equations (35R09)

Related Items (11)

Second order differential variational inequalities involving anti-periodic boundary value conditions ⋮ Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Subordination principle and approximation of fractional resolvents and applications to fractional evolution equations ⋮ The damped vibrating string equation on the positive half-line ⋮ Optimal Controls for Fractional Backward Nonlocal Evolution Systems ⋮ Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions ⋮ Evolution equations with nonlocal multivalued Cauchy problems ⋮ Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms ⋮ Nonlocal solutions of parabolic equations with strongly elliptic differential operators ⋮ Mild solutions of nonlocal semilinear evolution equations on unbounded intervals via approximation solvability method in reflexive Banach spaces ⋮ Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities

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