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In this chapter, a definition for a general partial differential equation in n independent variables is given. The basic problems for partial differential equations are formulated. An order of a partial differential equation is defined, and they are classified as linear and nonlinear partial differential equations. Some basic partial differential equations with important applications are introduced, and some historical facts about them are given.

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General Introduction

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  • 发表日期：

    2026年

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  • Svetlin G. Georgiev

摘要

In this chapter, a definition for a general partial differential equation in n independent variables is given. The basic problems for partial differential equations are formulated. An order of a partial differential equation is defined, and they are classified as linear and nonlinear partial differential equations. Some basic partial differential equations with important applications are introduced, and some historical facts about them are given.