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Forced Oscillation of a Class of Nonlinear Hyperbolic Equations with Continuous Distribution Delay

Tan Qiong-hua

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Abstract

The forced oscillation of solutions for a class of nonlinear partial functional differential equations with continuous distribution delay is studied. The sufficient conditions are obtained for oscillation of solutions of such equation under Robin boundary condition by using averaging technique and Robin eigenfunction.

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The forced oscillation of solutions for a class of nonlinear partial functional differential equations with continuous distribution delay is studied. The sufficient conditions are obtained for oscillation of solutions of such equation under Robin boundary condition by using averaging technique and Robin eigenfunction.

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Available abstract

The forced oscillation of solutions for a class of nonlinear partial functional differential equations with continuous distribution delay is studied. The sufficient conditions are obtained for oscillation of solutions of such equation under Robin boundary condition by using averaging technique and Robin eigenfunction.

Key concepts: Oscillation (cell signaling), Mathematics, Nonlinear system, Mathematical analysis, Class (philosophy), Hyperbolic partial differential equation, Eigenfunction, Distribution (mathematics)

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