The asymptotic behavior of the solutions of linear and nonlinear differential-difference equations

Autor:	K. L. Cooke
Rok vydání:	1953
Předmět:	Nonlinear system Asymptotic analysis Pure mathematics Linear differential equation Differential equation Applied Mathematics General Mathematics Coefficient matrix Method of matched asymptotic expansions Linear equation Variable (mathematics) Mathematics
Zdroj:	Transactions of the American Mathematical Society. 75:80-105
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-1953-0060133-4
Popis:	where a(t), b(t), and the bij(t) are given real functions of the real variable t. We seek to find real functions u(t) which satisfy (1.1) or (1.2) for t>to (to>O), and which satisfy the boundary condition u(t) =g(t) for to ? t ?to+1, where g(t) is a given real continuous function. The principal aim of this paper is to characterize such solutions for large positive values of the indep3ndent variable. Consider, for the moment, the more general linear equation
Databáze:	OpenAIRE
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