Sliding solutions of second-order differential equations with discontinuous right-hand side
| Autor: | Paulo Eduardo Reinach da Silva, Clayton E. L. da Silva, Alain Jacquemard |
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| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Differential equation General Mathematics General Engineering 02 engineering and technology 01 natural sciences 010305 fluids & plasmas Second order differential equations 020901 industrial engineering & automation Linear differential equation Ordinary differential equation 0103 physical sciences Calculus Applied mathematics Uniqueness Mathematics |
| Zdroj: | Mathematical Methods in the Applied Sciences. 40:5295-5306 |
| ISSN: | 0170-4214 |
| DOI: | 10.1002/mma.4387 |
| Popis: | We consider second-order ordinary differential equations with discontinuous right-hand side. We analyze the concept of solution of this kind of equations and determine analytical conditions that are satisfied by typical solutions. Moreover, the existence and uniqueness of solutions and sliding solutions are studied. Copyright © 2017 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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