Oscillation criteria for forced second order differential equations with deviating arguments

Qingkai Kong; Min Wang

Oscillation criteria for forced second order differential equations with deviating arguments

Qingkai Kong
, Min Wang

Research output: Contribution to journal › Article › peer-review

Abstract

With a geometric idea, we obtain a set of new oscillation criteria for the forced second order differential equation x"(t) + q(t) f(x(τ₁(t)),x' (τ₂))) = g(t). Our results generalized and improve many oscillation criteria of the Kartsatos type for forced equations in the literature. An example is given to illustrate the application of our results.

Original language	English (US)
Pages (from-to)	359-376
Number of pages	18
Journal	Communications in Applied Analysis
Volume	16
Issue number	3
State	Published - Jul 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Modeling and Simulation
Applied Mathematics

Cite this

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title = "Oscillation criteria for forced second order differential equations with deviating arguments",

abstract = "With a geometric idea, we obtain a set of new oscillation criteria for the forced second order differential equation x{"}(t) + q(t) f(x(τ1(t)),x' (τ2))) = g(t). Our results generalized and improve many oscillation criteria of the Kartsatos type for forced equations in the literature. An example is given to illustrate the application of our results.",

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AU - Kong, Qingkai

AU - Wang, Min

PY - 2012/7

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N2 - With a geometric idea, we obtain a set of new oscillation criteria for the forced second order differential equation x"(t) + q(t) f(x(τ1(t)),x' (τ2))) = g(t). Our results generalized and improve many oscillation criteria of the Kartsatos type for forced equations in the literature. An example is given to illustrate the application of our results.

AB - With a geometric idea, we obtain a set of new oscillation criteria for the forced second order differential equation x"(t) + q(t) f(x(τ1(t)),x' (τ2))) = g(t). Our results generalized and improve many oscillation criteria of the Kartsatos type for forced equations in the literature. An example is given to illustrate the application of our results.

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M3 - Article

AN - SCOPUS:84881247862

SN - 1083-2564

VL - 16

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EP - 376

JO - Communications in Applied Analysis

JF - Communications in Applied Analysis

IS - 3

ER -

Oscillation criteria for forced second order differential equations with deviating arguments

Abstract

All Science Journal Classification (ASJC) codes

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