A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms

Chinese Quarterly Journal of Mathematics ›› 1993, Vol. 8 ›› Issue (3): 39-44.

A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms

North China Institute of Water Consercancy,Hydroelectric Power Zhengzhou,450045

Received:1991-07-17 Online:1993-09-30 Published:2025-05-28

Abstract

Abstract: In this paper,we discuss a class of the quasillinear hyperbolic equations with theinhomogeneous terms:u■+σ（v）+2α（t）u=0.v■-u-0Under the certain of hypothesis.we prove the globally existence theorems of the smooth solutionsfor its Cauchy problem.

Key words: inhomogencous , , term, globally , , , smooth , , , sulution:quasilincar , , , hyperbolic , , cquations

Yang Qiao, Liu Fagui. A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(3): 39-44.

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A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms

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