[PDF] Top 20 Almost automorphic solutions of some differential equations in Banach spaces
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Almost automorphic solutions of some differential equations in Banach spaces
... periodic solutions. Several au- thors extended these ideas to almost periodic solutions (when f is almost ...of almost automorphic, and when bounded solutions are ... See full document
5
Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces
... integro-differential equations in abstract spaces arise in different fields of phys- ical sciences, engineering, biology, and applied ...integro-differential equations in abstract spaces is a fast ... See full document
7
Weighted pseudo almost periodic solutions to a class of semilinear integro differential equations in Banach spaces
... We note in the next proposition that under the given hypothesis on A, it is possible to construct a strongly continuous family of bounded and linear operators for (.) that com- mutes with A and satisfies a certain ... See full document
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Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 340349, 10 pages doi 10 1155/2010/340349 Research Article Solutions to Fractional Differential Equations with No[.] ... See full document
10
Solutions of fractional differential equations with p-Laplacian operator in Banach spaces
... the solutions for nonlinear fractional differential equations with p-Laplacian operator nonlocal boundary value problem in a Banach ...establish some new existence criteria for the boundary ... See full document
13
On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces
... We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the ... See full document
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The chaos of the solution semigroup for some partial differential equations in weighted Banach spaces
... In this paper we deal with the solution semigroup of some partial differential equations in a weighted Banach space on the real axis. We aim at showing the connection between complex-analytic approach ... See full document
7
Almost Automorphic Solutions to Abstract Fractional Differential Equations
... a Banach space X, and f : R × X → X is Stepanov-like almost automorphic in t ∈ R satisfying some kind of Lipschitz conditions in x ∈ ... See full document
9
On the Bohr transform of almost periodic solutions for some differential equations in abstract spaces
... differential equations of the form u (t) = Au(t) + f (t) or u (t) = Au(t) + f (t) in Banach spaces X, where f ( · ), R → X is almost-periodic, while A is a linear operator, Ᏸ (A) ⊂ X → ... See full document
14
Almost Automorphic and Pseudo Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain
... Let Z, · , W, · be Banach spaces. The notations CR; Z and BCR; Z stand for the collection of all continuous functions from R into Z and the Banach space of all bounded continuous functions from R ... See full document
8
On the semi inner product in locally convex spaces
... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ... See full document
6
Almost Automorphic Solutions of Difference Equations
... of almost automorphic functions have been obtained, for example, in the papers 26–33 , in the books 20, 21, 32 concerning almost automorphic functions with values in Banach ... See full document
15
Square-mean asymptotically almost automorphic mild solutions to non-autonomous stochastic differential equations
... of almost periodic, almost automorphic and pseudo almost automorphic solutions to some stochastic differential equations have been considered in many ... See full document
10
Square mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space
... of almost automorphy is an important generalization of the classical almost ...of almost periodic and almost automorphic solutions on different kinds of deterministic ... See full document
12
Almost periodic solutions of partial differential equations with delay
... of almost periodic solutions for this problem is that the semigroup T (·) is ...of almost automorphic solutions has been studied recently by Ezzinbi and N’Guérékata [] using this ... See full document
15
Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness
... semilinear differential equations with nonlocal condition using measure of ...delay differential and integrodifferential equations with nonlocal conditions in Banach ...of ... See full document
5
Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations
... particular, differential equations with impulsive conditions constitute an im- portant field of research due to their numerous applications in ecology, medicine biology, electrical engineering and other ... See full document
16
Strong Stability and Asymptotical Almost Periodicity of Volterra Equations in Banach Spaces
... Asymptotic behaviors of solutions to the special case of at ≡ 0 have been studied systematically, see, for example, 3, Chapter 4 and 8, Chapter V. The following example shows that asymptotic behaviors of ... See full document
12
Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
... [32] A. R. Mitchell and C. Smith, “An existence theorem for weak solutions of differential equations in Banach spaces,” in Nonlinear Equations in Abstract Spaces (Proc. Internat. ... See full document
14
EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES
... pseudo almost automorphic, g : R × X → X is weighted Stepanov-like pseudo almost automorphic for p > 1 and B, C are bounded linear ...pseudo almost automorphic mild ... See full document
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