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This paper is concerned with the global asymptotic stability of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions on infinite interval. The discussion is based on analytic semigroups theory and the gradually regularization method. The results obtained in this paper improve and extend some related conclusions on this topic.
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참고문헌 (20)
참고문헌 신청
T. Burton / 1985 / Stability and Periodic Solutions of Ordinary Differential Equations and Functional Differential Equations / Academic Press
L. Byszewski / 1998 / Application of properties of the right hand sides of evolution equations to an investigation of nonlocal evolution problems / Nonlinear Anal. 33(5):413~426
L. Byszewski / 1999 / Existence and uniqueness of a classical solutions to a functional-differential abstract nonlocal Cauchy problem / J. Math. Appl. Stochastic Anal. 12(1):91~97
A. Caicedo / 2012 / Asymptotic behavior of solu-tions of some semilinear functional differential and integro-differential equations with in nite delay in Banach spaces / J. Franklin Inst. 349(1):1~24
X. Chen / 2002 / Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations / J. Differential Equations 184(2):549~569
L. Byszewski / 1998 / Application of properties of the right hand sides of evolution equations to an investigation of nonlocal evolution problems / Nonlinear Anal. 33(5):413~426
L. Byszewski / 1999 / Existence and uniqueness of a classical solutions to a functional-differential abstract nonlocal Cauchy problem / J. Math. Appl. Stochastic Anal. 12(1):91~97
A. Caicedo / 2012 / Asymptotic behavior of solu-tions of some semilinear functional differential and integro-differential equations with in nite delay in Banach spaces / J. Franklin Inst. 349(1):1~24
X. Chen / 2002 / Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations / J. Differential Equations 184(2):549~569
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