Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type

Zhang Jian

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Zhang Jian. Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type[J]. Applied Mathematics and Mechanics, 1989, 10(8): 679-687.

Citation:

Zhang Jian. Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type[J]. Applied Mathematics and Mechanics, 1989, 10(8): 679-687.

Citation:

Zhang Jian. Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type[J]. Applied Mathematics and Mechanics, 1989, 10(8): 679-687.

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Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type

Zhang Jian

Sichuan Normal University, Chengdu

Received Date: 1988-05-27
Publish Date: 1989-08-15

Abstract

Abstract

This paper deals with the two types of mixed problems with respect to Neumann boundary and Dirichlet boundary for nonlinear pseudo-hyperbolic equations of generalized nerve conduction type u_tt-Δu_t=F(x,t,u,∇u,u_t,∇u_t) when the nonlinear part F(x,t,u,∇u,u_t,∇u_t) and the initial values satisfy some conditions, the blow-up properties of the solytions are obtained.

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References(8)

References

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