Existence of fast homoclinic orbits for a class of second-order non-autonomous problems
نویسندگان
چکیده
منابع مشابه
Existence of Homoclinic Orbits for Second Order Hamiltonian Systems without (ar) Condition
The existence of homoclinic orbits is obtained for a class of the second order Hamiltonian systems ü(t)−L(t)u(t)+∇W (t,u(t)) = 0, ∀t ∈ R , by the mountain pass theorem, where W(t,x) needs not to satisfy the global (AR) condition. Mathematics subject classification (2000): 34C37, 37J45, 47J30, 58E05.
متن کاملExistence and Multiplicity of Homoclinic Orbits for Second-Order Hamiltonian Systems with Superquadratic Potential
and Applied Analysis 3 Theorem 3. Assume that L satisfies (L) and (L) and W satisfies (W1), (W4), (W8) and (W9). Then problem (1) possesses a nontrivial homoclinic orbit. Remark 4. In Theorem 3, we consider the existence of homoclinic orbits for problem (1) under a class of local superquadratic conditions without the (AR) condition and any periodicity assumptions on both L and W. There are func...
متن کاملExistence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects
This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence argument, and a weak version of Lieb’s lemma. MSC: 34C37; 35A15; 37J45; 47J30
متن کاملExistence and Uniqueness of Homoclinic Solution for a Class of Nonlinear Second-Order Differential Equations
The authors study the existence and uniqueness of a set with 2kT-periodic solutions for a class of second-order differential equations by using Mawhin's continuation theorem and some analysis methods, and then a unique homoclinic orbit is obtained as a limit point of the above set of 2kT-periodic solutions.
متن کاملExistence of Homoclinic Solutions for a Class of Second-Order Differential Equations with Multiple Lags
This paper is concerned with the existence of homoclinic orbits for secondorder differential equations with multiple lags. By using Mawhin’s continuation theorem, a nontrivial homoclinic orbit is obtained as a limit of a certain sequence of periodic solutions of the equation. AMS Subject Classifications: 34K15, 34C25.
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2014
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2014-89