Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations
From MaRDI portal
Publication:5945104
DOI10.1006/jmaa.2001.7470zbMath0984.34031OpenAlexW2029284595MaRDI QIDQ5945104
Stepan Agop Tersian, Julia Chaparova
Publication date: 14 May 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2001.7470
Periodic solutions to ordinary differential equations (34C25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items
Infinitely many homoclinic solutions for a nonperiodic fourth-order differential equation without (AR)-condition ⋮ ANTI-PERIODIC SOLUTIONS FOR A CLASS OF 2nTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DELAYS ⋮ Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation ⋮ Pattern selection of solutions of the Swift--Hohenberg equation ⋮ Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity ⋮ Periodic solutions for extended Fisher-Kolmogorov and Swift-Hohenberg equations by truncature techniques ⋮ Existence and uniqueness of periodic solutions of second-order nonlinear differential equations ⋮ Periodic solutions for extended Fisher-Kolmogorov and Swift-Hohenberg equations obtained using a continuation theorem ⋮ Existence of solutions for \(2n\)th-order nonlinear \(p\)-Laplacian differential equations ⋮ Existence of homoclinic solutions for nonlinear second-order problems ⋮ Periodic solutions for a class of fourth-order nonlinear differential equations ⋮ Positive solutions for nonlocal extended Fisher-Kolmogorov and Swift-Hohenberg equations ⋮ Global attractor of the extended Fisher-Kolmogorov equation in \(H^k\)spaces ⋮ Unnamed Item ⋮ Existence of periodic solutions for a class of fourth-order difference equation ⋮ Existence of infinitely many periodic solutions for perturbed semilinear fourth-order impulsive differential inclusions ⋮ Antiperiodic solutions for a generalized high-order \((p, q)\)-Laplacian neutral differential system with delays in the critical case ⋮ Periodic solutions of a class of fourth-order superlinear differential equations ⋮ Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument ⋮ Unnamed Item ⋮ A fourth-order boundary value problem for a Sturm-Liouville type equation ⋮ On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients ⋮ Ground state homoclinic solutions for a class of superquadratic fourth-order differential equations ⋮ Sufficient conditions for the existence of heteroclinic solutions for -Laplacian differential equations ⋮ Existence of ground state solution for a class of one-dimensional Kirchhoff-type equations with asymptotically cubic nonlinearities ⋮ Homoclinic solutions for a nonperiodic fourth order differential equations without coercive conditions ⋮ Existence of homoclinic solutions for a fourth order differential equation with a parameter ⋮ Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation ⋮ Variational methods to fourth-order impulsive differential equations ⋮ Periodic and homoclinic solutions of a class of fourth order equations ⋮ Existence of solutions for nonlinear \(p\)-Laplacian difference equations ⋮ Unnamed Item ⋮ Existence and multiplicity of positive solutions of a boundary-value problem for sixth-order ODE with three parameters ⋮ Periodic solutions for semilinear fourth-order differential inclusions via nonsmooth critical point theory ⋮ Multiplicity of homoclinic solutions for a class of nonperiodic fourth-order differential equations with general perturbation ⋮ Infinitely many homoclinic solutions for nonperiodic fourth order differential equations with general potentials ⋮ Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations ⋮ Periodic solutions of some fourth-order nonlinear differential equations ⋮ HOMOCLINIC SOLUTIONS FOR FOURTH ORDER DIFFERENTIAL EQUATIONS WITH SUPERLINEAR NONLINEARITIES ⋮ Solvability and dependence on a parameter of a fourth-order periodic boundary value problem ⋮ Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity ⋮ Periodic solutions of some fourth-order nonlinear differential equations ⋮ Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters ⋮ A new error analysis of nonconforming Bergan's energy-orthogonal element for the extended Fisher-Kolmogorov equation ⋮ Attractor bifurcation for the extended Fisher-Kolmogorov equation with periodic boundary condition ⋮ On the solvability of a boundary value problem for a fourth-order ordinary differential equation ⋮ Two homoclinic solutions of a nonperiodic fourth-order impulsive differential equation ⋮ The multiplicity of solutions for fourth-order equations generated from a boundary condition ⋮ Periodic solutions of nonlocal semilinear fourth-order differential equations ⋮ A unified proof on existence of homoclinic orbits for some semilinear ordinary differential equations with periodic potentials ⋮ Periodic solutions for a class of nonlinear 2\(n\)th-order differential equations ⋮ Two homoclinic solutions for a nonperiodic fourth order differential equation with a perturbation ⋮ Existence for a semilinear sixth-order ODE ⋮ Existence of homoclinic solutions for a nonlinear fourth order \(p\)-Laplacian difference equation ⋮ On the existence of solutions to one-dimensional fourth-order equations ⋮ NONTRIVIAL SOLUTION FOR A SECOND-ORDER BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN AND PERTURBATION ⋮ Heteroclinic solutions for classical and singular \(\phi\)-Laplacian non-autonomous differential equations ⋮ Lower and upper solutions for a fully nonlinear beam equation ⋮ On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters ⋮ Infinitely many homoclinic solutions for fourth-order differential equations with locally defined potentials ⋮ Multiple solutions for boundary value problems of a discrete generalized Emden-Fowler equation ⋮ Nontrivial solutions of a fully fourth-order periodic boundary value problem ⋮ Periodic and homoclinic solutions of some semilinear sixth-order differential equations ⋮ Existence and numerical approximations of periodic solutions of semilinear fourth-order differential equations. ⋮ Concentration of homoclinic solutions for some fourth-order equations with sublinear indefinite nonlinearities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A variational approach to homoclinic orbits in Hamiltonian systems
- Critical point theory and Hamiltonian systems
- Positive homoclinic solutions for a class of second order differential equations
- Remarks on finding critical points
- Homoclinic orbits in the dynamic phase-space analogy of an elastic strut
- Periodic and homoclinic orbits for Lorentz-Lagranian systems via variational methods
