Oscillatory criteria for a class of even order nonlinear neutral partial differential equations with continuous distributed delay
Luo Li-ping
Abstract
Luo Li-ping
Abstract
The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied.Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi-dimensional oscillation problems to one-dimensional problems.Results obtained generalize and include some known results.
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The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied.Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi-dimensional oscillation problems to one-dimensional problems.Results obtained generalize and include some known results.
Key concepts: Nonlinear system, Oscillation (cell signaling), Class (philosophy), Partial differential equation, Mathematics, Distributed parameter system, Order (exchange), Mathematical analysis