Abstract
A result for the existence of homoclinic orbits is obtained for p -Laplacian systems d d t ( | u ̇ ( t ) | p − 2 u ̇ ( t ) ) = ∇ F ( t , u ( t ) ) + f ( t ) , where p > 1 , u ∈ R n , F ∈ C 1 ( R × R n , R ) is T -periodic with respect to t and f : R → R n is a continuous and bounded function such that F ( t , x ) ≥ F ( t , 0 ) + b | x | μ and ∫ R | f ( t ) | μ / ( μ − 1 ) d t < ∞ for some b > 0 and μ > 1 .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Nonlinear Analysis: Theory, Methods & Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
