Multiplicity results on periodic solutions to higher-dimensional differential equations with multiple delays
DOI10.1216/RMJ-2014-44-5-1715zbMath1311.34153OpenAlexW2044286278WikidataQ58005301 ScholiaQ58005301MaRDI QIDQ485894
Publication date: 14 January 2015
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071564
periodic solutionsmultiple delaysGalerkin approximation methodhigher-dimensional differential equationsthe \(S^1\)-index theory
Periodic solutions to functional-differential equations (34K13) Theoretical approximation of solutions to functional-differential equations (34K07) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiplicity results on period solutions to higher dimensional differential equations with multiple delays
- An exact formula for the branch of period-4-solutions of \(\dot x=-\lambda f(x(t-1))\) which bifurcates at \(\lambda =\pi/2\)
- A Hamiltonian with periodic orbits having several delays
- Periodic solutions for a class of non-autonomous differential delay equations
- Exact formulae for periodic solutions of \(\dot x(t+1)=\alpha(-x(t)+bx^ 3(t))\)
- Morse theory and asymptotic linear Hamiltonian system
- Critical point theorems for indefinite functionals
- Critical point theory and Hamiltonian systems
- The existence of periodic solutions of the equation \(x'(t)=-f(x(t),x(t- {\tau{}}))\)
- Ordinary differential equations which yield periodic solutions of differential delay equations
- More on ordinary differential equations which yield periodic solutions of delay differential equations
- Oscillatory periodic solutions of differential-delay equations with multiple lags
- Further results on the existence of periodic solutions to DDES with multiple lags
- Cohomology and Morse theory for strongly indefinite functionals
- Solutions of \(\dot x(t)=-g(x(t-1))\) approach the Kaplan-Yorke orbits for odd sigmoid \(g\)
- Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay equations
- Periodic solutions of delay equations with three delays via bi-Hamiltonian systems
- Multiple periodic solutions of differential delay equations via Hamiltonian systems. I
- Multiple periodic solutions of differential delay equations via Hamiltonian systems. II
- The existence of periodic solutions for a class of neutral differential difference equations
- Periodic solutions of special differential equations: an example in non-linear functional analysis
- Multiple periodic solutions of differential delay equations created by asymptotically linear Hamiltonian systems
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- On the construction of periodic solutions of kaplan-yorke type for some differential delay equations
- Multiple periodic solutions of asymptotically linear hamiltonian systems
- Periodic solutions of some differential delay equations created by Hamiltonian systems
This page was built for publication: Multiplicity results on periodic solutions to higher-dimensional differential equations with multiple delays