SEMILINEAR NONLOCAL PROBLEMS WITHOUT THE ASSUMPTIONS OF COMPACTNESS IN BANACH SPACES
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Publication:3560103
DOI10.1142/S021953051000159XzbMath1202.34107MaRDI QIDQ3560103
Publication date: 19 May 2010
Published in: Analysis and Applications (Search for Journal in Brave)
measure of noncompactnessmild solutionnonlocal initial conditioncondensing\(C_{0}\)-semigroupequicontinuous
One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20)
Related Items (10)
Nonlocal integro-differential equations without the assumption of equicontinuity on the resolvent operator in Banach spaces ⋮ Existence results for a class of semilinear nonlocal evolution equations ⋮ Impulsive differential equations with nonlocal conditions in general Banach spaces ⋮ Properties of the solutions set for a class of nonlinear evolution inclusions with nonlocal conditions ⋮ Abstract semilinear evolution equations with convex-power condensing operators ⋮ Existence of solutions for a class of nonlinear evolution inclusions with nonlocal conditions ⋮ Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces ⋮ Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces ⋮ Nonlinear impulsive evolution equations with nonlocal conditions and optimal controls ⋮ Unnamed Item
Cites Work
- Nonlocal differential equations with multivalued perturbations in Banach spaces
- Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
- Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
- \(L^p\) theory for semilinear nonlocal problems with measure of noncompactness in separable Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- Multivalued differential equations in separable Banach spaces
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Multivalued perturbations of \(m\)-accretive differential inclusions
- Global existence for semilinear evolution equations with nonlocal conditions
- An abstract topological point of view and a general averaging principle in the theory of differential inclusions
- Nonlocal Cauchy problems governed by compact operator families
- Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
- On a nonlocal problem for semilinear differential equations with upper semicontinuous nonlinearities in general Banach spaces
- Nonlinear nonlocal Cauchy problems in Banach spaces
- Existence of semilinear differential equations with nonlocal initial conditions
- Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
- Existence of solutions of a semilinear functional-differential evolution nonlocal problem
- Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions
- Semilinear integrodifferential equations with nonlocal cauchy problem
- Mild solutions of evolution equations and measures of noncompactness
- Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces
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