Viable periodic solutions in state-dependent impulsive problems

DOI10.1007/s13348-015-0139-xzbMath1341.34047OpenAlexW1988036236WikidataQ59408420 ScholiaQ59408420MaRDI QIDQ495983

Grzegorz Gabor

Publication date: 16 September 2015

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-015-0139-x

zbMATH Keywords

periodic solutionfixed point indexstate-dependent impulsive problemviable solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Index theory for dynamical systems, Morse-Conley indices (37B30) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (5)

On the continuity of the function describing the times of meeting impulsive set and its application ⋮ On existence and continuation of solutions of the state-dependent impulsive dynamical system with boundary constraints ⋮ Period-adding bifurcation and chaos in a hybrid Hindmarsh-Rose model ⋮ Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects ⋮ Existence of solution, pulse phenomena and stability criteria for state-dependent impulsive differential equations with saturation

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