New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition
نویسندگان
چکیده
منابع مشابه
Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
We study the existence of homoclinic solutions for the second order Hamiltonian system ü+Vu(t, u) = f(t). Let V (t, u) = −K(t, u)+W (t, u) ∈ C1(R×Rn,R) be T -periodic in t, where K is a quadratic growth function and W may be asymptotically quadratic or super-quadratic at infinity. One homoclinic solution is obtained as a limit of solutions of a sequence of periodic second order differential equ...
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 کاملHomoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
and Applied Analysis 3 Note that the inequality (14) holds true with constantC = √ 2 if T ≥ 1/2 (see [9]). Subsequently, we may assume this condition is fulfilled. Consider a functional I : E T → R defined by
متن کاملMULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS
In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.
متن کاملHomoclinic solutions for second order Hamiltonian systems with general potentials near the origin∗
In this paper, we study the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems with general potentials near the origin. Recent results from the literature are generalized and significantly improved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2018
ISSN: 1687-2770
DOI: 10.1186/s13661-018-1052-5