Sliding solutions of second-order differential equations with discontinuous right-hand side

6533b855fe1ef96bd12b10bc

RESEARCH PRODUCT

Sliding solutions of second-order differential equations with discontinuous right-hand side

Paulo Eduardo Reinach Da Silva Clayton E. L. Da Silva Alain Jacquemard Alain Jacquemard

subject

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

description

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.

year	journal	country	edition	language
2017-03-29	Mathematical Methods in the Applied Sciences

https://doi.org/10.1002/mma.4387

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