On a mixed problem for systems of definite quasilinear partial differential equations with deviating argument

• Date: 1994
• Main Authors: Marynetz, V. V., Маринець, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5600
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a mixed problem for a system of definite quasilinear pseudoparabolic equations with deviating argument, we prove a theorem on differential inequalities and existence of a unique regular solution and a comparison theorem and give sufficient conditions of existence of solutions with constant sign.