@article{RobertKrawczyk2014,
abstract = {In this work we will be concerned with the existence of almost homoclinic solutions for a Newtonian system $q̈ + ∇_\{q\}V(t,q) = f(t)$, where t ∈ ℝ, q ∈ ℝⁿ. It is assumed that a potential V: ℝ × ℝⁿ → ℝ is C¹-smooth and its gradient map $∇_\{q\}V: ℝ × ℝⁿ → ℝⁿ$ is bounded with respect to t. Moreover, a forcing term f: ℝ → ℝⁿ is continuous, bounded and square integrable. We will show that the approximative scheme due to J. Janczewska (see [J2]) for a time periodic potential extends to our case.},
author = {Robert Krawczyk},
journal = {Banach Center Publications},
keywords = {almost homoclinic solution; approximative method; Newtonian system},
language = {eng},
number = {1},
pages = {107-113},
title = {A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems},
url = {http://eudml.org/doc/281955},
volume = {101},
year = {2014},
}
TY - JOUR
AU - Robert Krawczyk
TI - A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 107
EP - 113
AB - In this work we will be concerned with the existence of almost homoclinic solutions for a Newtonian system $q̈ + ∇_{q}V(t,q) = f(t)$, where t ∈ ℝ, q ∈ ℝⁿ. It is assumed that a potential V: ℝ × ℝⁿ → ℝ is C¹-smooth and its gradient map $∇_{q}V: ℝ × ℝⁿ → ℝⁿ$ is bounded with respect to t. Moreover, a forcing term f: ℝ → ℝⁿ is continuous, bounded and square integrable. We will show that the approximative scheme due to J. Janczewska (see [J2]) for a time periodic potential extends to our case.
LA - eng
KW - almost homoclinic solution; approximative method; Newtonian system
UR - http://eudml.org/doc/281955
ER -
