Definite Solution Of The Problem Of A Class Of Odd-order And Mixed-type Equations

This article mainly studies the problem of odd order and equations of mixedtype, the boundary problem of parabolic equation of mixed type,and the boundarychanges on false parabolic equation. The even order partial differential equations arestudied more in Russia, this paper will be of even order is extended to the oddorder,and the difference method is used,which is the priori estimates, integralequation, fixed point theorem, compression mapping method. Equations of mixedtype is one of the research direction of special partial differential equation, which isan extention of partial differential equation. The uniqueness of false parabolicequation changes in border issues is studied. This article is divided five parts toelaborate these questions.In part1,we describes the research background of odd order and equations ofmixed type, research status and research significance.In part2,we introduces the preliminary knowledge used in this paper.In part3,we discusses the solutions of a class of odd order partial differentialequationIn section1,questions.In section2,to prove the uniqueness of solution, get theorem3.2.1,3.2.2.In section3,to prove the existence of solution, get theorem3.3.2.In part4,The moving boundary problem for a class of mixed type parabolicequations is studied.In section1,questions.In section2,to prove the uniqueness of solution,get theorem4.2.1,4.2.2.In part5,We study on the change of false parabolic equation boundary problemIn section1,questions.In section2,priori estimates, get theorem5.2.1.In section3,to prove the uniqueness of solution, get theorem5.3.1.