Periodic solutions of superlinear impulsive differential systems

We develop continuation technique to obtain periodic solutions for superlinear planar differential systems of first order with impulses.

Our approach was inspired by some works by Capietto, Mawhin and Zanolin in analogous problems without impulses and uses instead of Brouwer degree the much more elementary notion of essential map in the sense of fixed point theory.

Eduard Kirr
Faculty of Mathematics, University “Babes-Bolyai”

Radu Precup
Faculty of Mathematics, University “Babes-Bolyai”

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E. Kirr, R. Precup, Periodic solutions of superlinear impulsive differential systems, Commun. Appl. Anal., 3  (1999), 483-502.

https://ictp.acad.ro/wp-content/uploads/2022/08/1999a-Precup-Periodic-solutions-of-superlinear-impulsive-differential-systems.pdf

https://faculty.math.illinois.edu/~ekirr/page/research/IMPULS2.pdf

Google Scholar Profile

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