Existence of homoclinic solutions for a class of neutral functional differential equations
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Publication:1757995
DOI10.1007/s10114-011-9259-8zbMath1267.34120OpenAlexW2098672051MaRDI QIDQ1757995
Publication date: 7 November 2012
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-011-9259-8
periodic solutionhomoclinic solutionMawhin's continuation theoremneutral functional differential equation
Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Boundary value problems for functional-differential equations (34K10)
Related Items
Homoclinic solutions for a second-order singular differential equation ⋮ Homoclinic solutions for a class of prescribed mean curvature Liénard equations ⋮ Fast homoclinic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator ⋮ Existence of homoclinic orbits for a singular differential equation involving \(p\)-Laplacian ⋮ Homoclinic solutions for Rayleigh type \(p\)-Laplacian equations with a deviating argument ⋮ Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations ⋮ Homoclinic solutions for a class of relativistic Liénard equations ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity
Cites Work
- Homoclinic solutions for a nonlinear second order differential system with \(p\)-Laplacian operator
- Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
- Positive periodic solution of second-order neutral functional differential equations
- Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
- Periodic solutions for generalized high-order neutral differential equation in the critical case
- Coincidence degree, and nonlinear differential equations
- Periodic solutions for a kind of Liénard equation with a deviating argument.
- Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
- Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
- A priori bounds for periodic solutions of a kind of second order neutral functional differential equation with multiple deviating arguments
- Some results on second-order neutral functional differential equations with infinite distributed delay
- Homoclinic solutions for a class of the second order Hamiltonian systems
- On the existence of periodic solutions for a kind of second order neutral functional differential equation
- Periodic solutions to a kind of second order neutral functional differential equation in the critical case
- Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
- Homoclinic solutions for a class of second-order Hamiltonian systems
- Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential
