Oscillation for certain nonlinear delay hyperbolic equations (Q1296637)

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scientific article; zbMATH DE number 1319861
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Oscillation for certain nonlinear delay hyperbolic equations
scientific article; zbMATH DE number 1319861

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    Oscillation for certain nonlinear delay hyperbolic equations (English)
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    2 August 1999
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    The author establishes oscillatory criteria for the solutions of the nonlinear hyperbolic equations with continuously distributed deviating arguments \[ {\partial^2\over\partial t^2} [u+\lambda(t) u(x, t-\tau)]= a(t)\Delta u- c(x, t,u)- \int^b_a q(x,t,\xi) u[x,g(t,\xi)] d\sigma(\xi) \] using averaging technique.
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    oscillation
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    nonlinear hyperbolic equations with continuously distributed deviating arguments
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