Evolution Equations
Notes on the Propagators of Evolution Equations
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 795484, 8 pages doi 10 1155/2010/795484 Research Article Notes on the Propagators of Evolution Equations Yu Lin,[.] ...
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Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... [12] M. Wang, X. Li and J. Zhang, The (G′/G)−expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics, Phy. Lett. A, 372, 417-423, 2008. [13] A. Yildirim and S. ...
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Periodicity and ergodicity for abstract evolution equations with critical nonlinearities
... stract linear evolution equations in Banach spaces (see [–] and references therein). In particular several results on the existence of pseudo almost periodic solutions to dif- ferential equations ...
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Global rapid controllability of a class of semilinear evolution equations
... In this paper, we are concerned with a class of control systems governed by semilinear evolution equations. Under appropriate conditions of different types, we prove that the control system, with arbitrarily ...
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Controllability for nonlinear evolution equations with monotone operators
... operator equations, and Ouchi [] proved the analytic- ity of solutions of semilinear parabolic differential equations with monotone ...nonlinear evolution equations with monotone ...
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Mild solutions of fractional evolution equations on an unbounded interval
... differential equations have appeared in many branches of physics, economics, and technical sciences [, ...ferential equations in the last ...tional evolution equations was successfully given ...
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Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
... differential equations have been proved to be valuable tools in the investigation of many phenomena in engineering and physics; they attracted many researchers ...nonautonomous evolution equations and ...
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Nonlocal Impulsive Cauchy Problems for Evolution Equations
... Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the ...
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Initial value problem for fractional evolution equations
... This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means ...
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Anti periodic solutions for nonlinear evolution equations
... The study of anti-periodic solutions for nonlinear evolution equations was initiated by Okochi []. Since then, many authors have been devoted to investigation of the existence of anti-periodic solutions ...
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A note on the initial value problem of fractional evolution equations
... In this paper, we discuss the continuous dependence of mild solutions on initial values and orders for the initial value problem of fractional evolution equations in infinite dimensional spaces. The results ...
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Fractional neutral evolution equations with nonlocal conditions
... semilinear evolution equations with nonlocal conditions were investigated in ...differential equations arises in many areas of applied mathematics and such equations have received much ...
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On a new class of impulsive fractional evolution equations
... This paper is concerned with the existence of PC-mild solutions for Cauchy and nonlocal problems of impulsive fractional evolution equations for which the impulses are not instantaneous. By using the theory ...
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Generalised fractional evolution equations of Caputo type
... the evolution equations in (1)-(2) include as particular cases a variety of equations stud- ied in the theory of fractional partial differential equations ...differential equations ...
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Solutions to impulsive integrodifferential evolution equations under a noncompact evolution system
... differential equations with compact ...differential equations when the semigroup T (t) gener- ated by the coefficient operator is compact and the nonlocal function g is not ...integrodifferential ...
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Periodic BVPs for fractional order impulsive evolution equations
... In this paper, we study periodic BVPs for fractional order impulsive evolution equations. The existence and boundedness of piecewise continuous mild solutions and design parameter drift for periodic motion ...
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Identification problems for systems of nonlinear evolution equations and functional equations
... nonlinear evolution equations are the mathematical models that are used to describe many complex phenomena arising in science and ...evolution equations. Some inverse problems for kinetic and ...
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Existence of positive periodic solutions for abstract evolution equations
... It is noteworthy at this point that the problem concerning periodic solutions of partial differential equations has become an important area of investigation in recent years. Spe- cially, the periodic problems of ...
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Sparse Regularization for Inverse Problems Governed by Evolution Equations.
... The motivation for this thesis originates from the practical needs of many classically difficult inverse problems in the mathematical sciences, as well as some of the more re- cent needs throughout the sciences. The ...
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Monotone iterative technique for impulsive fractional evolution equations
... It is well known that the method of monotone iterative technique has been proved to be an effective and a flexible mechanism. Du and Lakshmikantham [11] established a monotone iterative method for an initial value ...
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