Differential equations

2020 ◽  
Author(s):  
Galina Zhukova
Keyword(s):  
Quality Control ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Stability Theory ◽  
Arbitrary Order ◽  
Educational Institutions ◽  
Course Material ◽  
The Subject ◽  
Basic Concepts

The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of specific tasks. For independent quality control mastering the course material suggested test questions on the theory, exercises and tasks. It is recommended that teachers, postgraduates and students of higher educational institutions, studying differential equations and their applications.

Differential equations: examples and tasks

2020 ◽  
Author(s):  
Galina Zhukova
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Stability Theory ◽  
Boundary Value ◽  
Linear Differential Equations ◽  
Educational Institutions ◽  
Higher Educational Institutions ◽  
Higher Educational ◽  
Linear Differential

To master the skills of solving examples and problems of the course "Ordinary differential equations" proposed a cycle of workshops covering the topics: differential equations of first, second, n-th orders; systems of linear differential equations; integration of initial and boundary value problems; stability theory. Given the large number of examples and tasks for independent operation with answers. This sample tests with solutions and analysis. It is recommended that teachers, postgraduates and students of higher educational institutions studying differential equations.

Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations

2014 ◽  
Vol 58 (1) ◽  
pp. 183-197 ◽  
Author(s):  
John R. Graef ◽  
Johnny Henderson ◽  
Rodrica Luca ◽  
Yu Tian
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
Optimal Length ◽  
The Third

AbstractFor the third-order differential equationy′″ = ƒ(t, y, y′, y″), where, questions involving ‘uniqueness implies uniqueness’, ‘uniqueness implies existence’ and ‘optimal length subintervals of (a, b) on which solutions are unique’ are studied for a class of two-point boundary-value problems.

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