Ciesielski, Jakub, Janczewska, Joanna, Waterstraat, Nils (2017) On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems. Differential Integral Equations, 30 (3/4). pp. 259272. ISSN 08934983. (KAR id:65033)
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Official URL https://projecteuclid.org/euclid.die/1487386825 
Abstract
We study the existence of homoclinic type solutions for second order Lagrangian systems of the type \(q̈(t)q(t)+a(t)\nabla G(q(t))=f(t)\), where \(t\) \(\varepsilon\) \(\Bbb R\), \(q\) \(\varepsilon\) \(\Bbb R^n\), \(a:\Bbb R \longrightarrow \Bbb R^n\) is a continuous positive bounded function, \(G: \Bbb R^n \longrightarrow \Bbb R\) is a \(C^1\)smooth potential satisfying the AmbrosettiRabinowitz superquadratic growth condition and \(f:\Bbb R \longrightarrow \Bbb R^n\) is a continuous bounded square integrable forcing term. A homoclinic type solution is obtained as limit of \(2k\)periodic solutions of an approximative sequence of second order differential equations.
Item Type:  Article 

Subjects: 
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations 
Divisions:  Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science 
Depositing User:  Nils Waterstraat 
Date Deposited:  06 Dec 2017 14:09 UTC 
Last Modified:  16 Feb 2021 13:51 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/65033 (The current URI for this page, for reference purposes) 
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