Back to Search
Start Over
On the Explicit Integration of Special Types of Differential Inequalities
- Source :
- Vestnik St. Petersburg University, Mathematics. 52:136-144
- Publication Year :
- 2019
- Publisher :
- Pleiades Publishing Ltd, 2019.
-
Abstract
- A general method was proposed in our previous paper for explicitly finding all solutions of the differential inequality, which is based on the general solution of the corresponding differential equation or, in other words, on the variation of arbitrary constants. Criteria of extendibility and characteristics of the maximally extended (full) solution of the inequality were proven. In this paper, we applied these results to specific types of inequalities most frequently encountered in applications and literature. We also compared them to other known methods in the literature.
- Subjects :
- General method
Inequality
Differential equation
General Mathematics
media_common.quotation_subject
010102 general mathematics
01 natural sciences
010305 fluids & plasmas
Variation (linguistics)
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
0103 physical sciences
Applied mathematics
0101 mathematics
Differential inequalities
media_common
Mathematics
Subjects
Details
- ISSN :
- 19347855 and 10634541
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- Vestnik St. Petersburg University, Mathematics
- Accession number :
- edsair.doi...........193af2c8dcb080b38b80ff880b44ff5d