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- Title
EXISTENCE, UNIQUENESS AND STABILITY OF PERIODIC SOLUTIONS FOR NONLINEAR NEUTRAL DYNAMIC EQUATIONS.
- Authors
BOUCHELAGHEM, F.; ARDJOUNI, A.; DJOUDI, A.
- Abstract
The nonlinear neutral dynamic equation with periodic coefficients [u(t) - g(u (t - τ (t)))] Δ=p(t) - a(t)uσ(t) - a(t)g(uσ(t - τ(t))) - h(u(t),u(t - τ(t)))is considered in this work. By using Krasnoselskii's fixed point theorem we obtain the existence of periodic and positive periodic solutions and by contraction mapping principle we obtain the uniqueness. Stability results of this equation are analyzed. The results obtained here extend the work of Mesmouli, Ardjouni and Djoudi [14].
- Subjects
EQUATIONS; NONLINEAR difference equations; UNIQUENESS (Mathematics)
- Publication
Kragujevac Journal of Mathematics, 2020, Vol 44, Issue 4, p189
- ISSN
1450-9628
- Publication type
Article
- DOI
10.46793/KgJMat2002.189B