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|Title: ||Impulsive coupled systems with generalized jump conditions|
|Authors: ||Minhós, Feliz|
de Sousa, Robert
|Keywords: ||impulsive coupled systems|
L1 -Carathéodory functions
Schauder fixed point theory
elastically coupled double-string system
|Issue Date: ||2018|
|Publisher: ||Vilnius University|
|Citation: ||F. Minhós, R. de Sousa, Impulsive coupled systems with generalized jump conditions, Nonlinear Analysis: Modelling and Control, Vol. 23, No. 1, (2018) 103–119|
|Abstract: ||This work considers a second-order impulsive coupled system with full nonlinearities, generalized impulse functions and mixed boundary conditions. This is the first time where such
coupled systems are considered with nonlinearities with dependence on both unknown functions and their derivatives, together impulsive functions given by more general framework allowing jumps
on the both functions and both derivatives.
The arguments apply the fixed point theory, Green’s functions technique, L1
-Carathéodory functions theory and Schauder’s fixed point theorem.
An application to the transverse vibration system of elastically coupled double-string is presented in the last section.|
|Appears in Collections:||MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica|
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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