Oscillation and nonoscillation criteria for nonhomogeneous differential equations

Autor:	H. C. Howard
Rok vydání:	1978
Předmět:	Bernoulli differential equation Corollary Linear differential equation Differential equation Oscillation Applied Mathematics Ordinary differential equation Mathematical analysis Exact differential equation Mathematics Sign (mathematics)
Zdroj:	Annali di Matematica Pura ed Applicata. 118:163-180
ISSN:	1618-1891 0373-3114
DOI:	10.1007/bf02415128
Popis:	In this paper the nonhomogeneous ordinary differential equation $$y''(x) + p(x)y(x) = f(x)$$ (*) is considered. Two theorems are given which guarantee all solutions of (*) are oscillatory and another theorem is given which guarantees some of the solutions of (*) are oscillatory. Finally a necessary condition for a solution of (*) to be nonoscillatory is obtained. With the exception of one corollary there are no sign or magnitude restrictions on the coefficients p and f.
Databáze:	OpenAIRE
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