Oscillation criteria of nonlinear parabolic partial functional differential equations with continuous distribution delay
Luo Li-ping
Abstract
Luo Li-ping
Abstract
The oscillation of a class of nonlinear parabolic partial functional differential equations with continuous distribution delay is considered in this paper.To reduce the multi-dimensional oscillation problems to one-dimensional problems for certain nonlinear differential inequalities with continuous distribution delay by employing Green′s theorem,some sufficient criteria are proposed for oscillation of all solutions of such equations under Robin and Dirichlet boundary value conditions.The conclusion fully indicates that the oscillation is caused by delay.
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The oscillation of a class of nonlinear parabolic partial functional differential equations with continuous distribution delay is considered in this paper.To reduce the multi-dimensional oscillation problems to one-dimensional problems for certain nonlinear differential inequalities with continuous distribution delay by employing Green′s theorem,some sufficient criteria are proposed for oscillation of all solutions of such equations under Robin and Dirichlet boundary value conditions.The conclusion fully indicates that the oscillation is caused by delay.
Key concepts: Oscillation (cell signaling), Mathematics, Nonlinear system, Mathematical analysis, Delay differential equation, Boundary value problem, Partial differential equation, Distribution (mathematics)