Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions

DOI10.1080/00036819708840525zbMath0874.35126OpenAlexW2016598790WikidataQ58171858 ScholiaQ58171858MaRDI QIDQ4345132

Panagiotis Ch. Tsamatos, Sotiris K. Ntouyas

Publication date: 10 November 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840525

zbMATH Keywords

a priori boundsglobal existenceLeray-Schauder alternativenonlocal Cauchy problemsemilinear evolution integrodifferential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Partial functional-differential equations (35R10)

Related Items (27)

Nonlocal integro-differential equations without the assumption of equicontinuity on the resolvent operator in Banach spaces ⋮ Existence results for nonlinear nonlocal problems in Banach spaces ⋮ Existence results for semilinear differential equations with nonlocal and impulsive conditions ⋮ Existence of semilinear differential equations with nonlocal initial conditions ⋮ Existence of mild solutions for nonlocal evolution equations with the Hilfer derivatives ⋮ Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions ⋮ Existence and uniqueness of solutions of nonlinear fractional stochastic differential systems with nonlocal functional boundary conditions ⋮ Existence of mild solutions for abstract semilinear evolution equations in Banach spaces ⋮ Existence results for impulsive differential inclusions with nonlocal conditions ⋮ Nonlocal Cauchy problems close to an asymptotically stable equilibrium point ⋮ SEMILINEAR NONLOCAL PROBLEMS WITHOUT THE ASSUMPTIONS OF COMPACTNESS IN BANACH SPACES ⋮ Nonlocal differential equations with multivalued perturbations in Banach spaces ⋮ A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness ⋮ Existence of mild and classical solutions for nonlocal impulsive integrodifferential equations in Banach spaces with measure of noncompactness ⋮ Globsl existence for second order semilinear ordinary and delay integrodifferential equations with nonlocal conditions ⋮ Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces ⋮ Existence and uniqueness of fuzzy solution for semilinear fuzzy integrodifferential equations with nonlocal conditions ⋮ Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces ⋮ Unnamed Item ⋮ Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces ⋮ Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces. ⋮ Unnamed Item ⋮ Existence of nondensely defined evolution equations with nonlocal conditions ⋮ Impulsive problems for semilinear differential equations with nonlocal conditions ⋮ Nonlinear differential equations with nonlocal conditions in Banach spaces ⋮ Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces ⋮ Global existence for some integro-differential equations with delay subject to non-local conditions

Cites Work

• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Semilinear integrodifferential equations in Banach space

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