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Your search keyword '"Exponential dichotomy"' showing total 3 results
Start Over Descriptor "Exponential dichotomy" Topic mathematical analysis Journal communications in nonlinear science & numerical simulation
3 results on '"Exponential dichotomy"'

1. Almost automorphic solutions to some damped second-order differential equations

Author

Diagana, Toka

Subjects
*AUTOMORPHIC functions, *FIXED point theory, *EXISTENCE theorems, *NUMERICAL solutions to differential equations, *MATHEMATICAL analysis, *AUTOMORPHISMS, *SCHAUDER bases
Abstract

Abstract: In this paper we make extensive use of dichotomy tools and the well-known Schauder fixed point principle to study and obtain the existence of almost automorphic solutions to some nonautonomous damped second-order differential equations. To illustrate our abstract result, we study the existence of almost automorphic solutions to the so-called plate-like equation. [Copyright &y& Elsevier]

Published
2012
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2. Existence of quasibounded solutions for the higher order dynamic equations on measure chains

Author

Wu, Haihui and Xia, Yonghui

Subjects
*EXISTENCE theorems, *FIXED point theory, *DIFFERENTIAL equations, *SCHAUDER bases, *TIME measurements, *MATHEMATICAL analysis
Abstract

Abstract: By using the exponential dichotomy and Schauder’s fixed point theorem, some new criteria are established for the existence of quasibounded solutions of the inhomogeneous system x Δ = A(t)x + g(t, x)+ h(t), which generalize the previous results in . [ABSTRACT FROM AUTHOR]

Published
2011
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3. The existence of almost periodic solutions of a certain nonlinear system

Author

Wang, Yuanheng and Xia, Yong-Hui

Subjects
*NONLINEAR systems, *PERIODIC functions, *EXPONENTIAL functions, *EIGENVALUES, *AVERAGING method (Differential equations), *MATHEMATICAL analysis
Abstract

Abstract: This paper studies a certain nonlinear system. By averaging method and exponential dichotomy, some sufficient conditions are given for the existence of almost periodic solutions of the system. The results generalize the known ones. [Copyright &y& Elsevier]

Published
2011
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