On integration of special types of differential inequalities in explicit form

Authors

  • Yuriy A. Iljin

Abstract

In the previous work, the author proposed a general method for finding all solutions of the differential inequality in explicit form, which is based on the formula of the general solution of the corresponding differential equation or, in other words on the method of the variation of arbitrary constants. Criteria of extendibility of solutions and characteristics of the maximally extended (full) solution of the inequality had been proven. In the present paper, these results are applied specific types of inequalities to the most frequently encountered in applications and literature. We also compare them to other methods in existing literature.

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References

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Published

2020-08-17

How to Cite

Iljin, Y. A. (2020). On integration of special types of differential inequalities in explicit form. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 6(2), 196–207. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/8411

Issue

Vol. 6 No. 2 (2019)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.