Abstract
By using the continuous theorem of Ge and Ren and constructing suitable Banach spaces and operators, we investigate the existence of solutions for an impulsive p-Laplacian boundary value problem with integral boundary condition at resonance on the half-line. An example is given to illustrate our main results.
Highlights
Boundary value problems on the half-line arise in various applications such as in the study of the unsteady flow of a gas through semi-infinite porous medium, in analyzing the heat transfer in radial flow between circular disks, in the study of plasma physics, in an analysis of the mass transfer on a rotating disk in a non-Newtonian fluid, etc. [ ]Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process
Impulsive differential equations occur in biology, medicine, mechanics, engineering, chaos theory, etc. [ – ]
Impulsive boundary value problems have been studied by many papers; see
Summary
Boundary value problems on the half-line arise in various applications such as in the study of the unsteady flow of a gas through semi-infinite porous medium, in analyzing the heat transfer in radial flow between circular disks, in the study of plasma physics, in an analysis of the mass transfer on a rotating disk in a non-Newtonian fluid, etc. [ ]. Impulsive boundary value problems have been studied by many papers; see [ – ]. The boundary value problems at resonance have been studied by many papers; see [ – ]. In [ ], the author gave the existence of solutions for the p-Laplacian boundary value problem at resonance on the half-line (φp(u )) (t) = ψ(t)f (t, u(t), u (t)), t ∈ [ , +∞), u (+∞) = , u( ) =. As far as we know, the impulsive p-Laplacian boundary value problems at resonance on the half-line have not been investigated. Nλ is said to be M-compact in if there exist a vector subspace Y of Y satisfying dim Y = dim X and an operator R : × [ , ] → X being continuous and compact such that for λ ∈ [ , ],.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: 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.
