Weighted Pseudo Almost Automorphic Solutions to Nonautonomous Semilinear Differential Equations | Zendy

Saud M. Alsulami | Zendy

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Weighted Pseudo Almost Automorphic Solutions to Nonautonomous Semilinear Differential Equations

Author(s) -

Saud M. Alsulami

Publication year - 2017

Publication title -

journal of mathematical sciences and computer applications

Language(s) - English

Resource type - Journals

ISSN - 2158-933X

DOI - 10.5147/jmsca.v1i1.88

Subject(s) - lipschitz continuity , mathematics , uniqueness , banach space , exponential dichotomy , pure mathematics , space (punctuation) , argument (complex analysis) , differential equation , mathematical analysis , linguistics , biochemistry , chemistry , philosophy

We consider the existence and uniqueness of Weighted Pseudo almost automorphic solutionsto the non-autonomous semilinear differential equation in a Banach space X :( ) = ( ) ( ) ( , ( )), ' u t A t u t f t u t t Rwhere A(t), t R, generates an exponentially stable evolution family {U(t, s)} andf :R X X satisfies a Lipschitz condition with respect to the second argument.MSC 2010: 43A60; 34G20, 47Dxx

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