Interval oscillation criteria for a forced second order nonlinear ordinary differential equations with oscillatory potential

New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential (p(t)y ′(t)) ′+q(t)f(y(t))=g(t) are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of [ t 0,∞), rather...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 135; no. 1; pp. 49 - 64
Main Author: Yang, Qigui
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 15.02.2003
Elsevier
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Nonlinear
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equation
Ordinary differential equations
Oscillation
Sciences and techniques of general use
Second order
Second order
Nonlinear
Ordinary differential equation
Oscillation
Non linear equation
Second order equation
Numerical analysis
Existence theorem
Oscillation criterion
Criterion
Differential equation
Forced oscillation
Oscillatory potential
Potential
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential (p(t)y ′(t)) ′+q(t)f(y(t))=g(t) are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of [ t 0,∞), rather than on the whole half-line. Our results are of a high degree of generality and sharper than some previous results and handle the cases which are not covered by known results. Moreover, these results can also be applied to the extreme such as ∫ t 0 ∞q(s) ds=−∞ .
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(01)00307-1