关键词: nonlinear pseudo-hyperbolic equation of generalized nerve conduction type, initial boundary value problem, eigenfunction method, blow-up, die-out

Abstract: This paper considers the initial boundary value problems with three types of the boundary conditions for nonlinear pseudo-hyperbolic equations of generalized nerve conduction type, using foe eigenfunction method, the conditions for which the solutions blow-up and die-out in the finile time are got.

Key words: nonlinear pseudo-hyperbolic equation of generalized nerve conduction type, initial boundary value problem, eigenfunction method, blow-up, die-out