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Continuability and Boundedness of Solutions for a Kind of Nonlinear Delay Integrodifferential Equations of the Third Order
- Source :
- Journal of Mathematical Sciences. 236:354-366
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- In the paper, we consider a nonlinear integrodifferential equation of the third order with delay. We establish sufficient conditions guaranteeing the global existence and boundedness of the solutions of the analyzed equation. We use the Lyapunov second method to prove the main result. An example is also given to illustrate the applicability of our result. The result of this paper is new and improves previously known results.
- Subjects :
- Statistics and Probability
Lyapunov function
Applied Mathematics
General Mathematics
010102 general mathematics
MathematicsofComputing_NUMERICALANALYSIS
01 natural sciences
010305 fluids & plasmas
Nonlinear system
symbols.namesake
Third order
0103 physical sciences
symbols
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 236
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........65b909279dd1d2947c4c23f570b4fc96