Abstract
In this paper the existence results of positive solutions are obtained for fourth-order periodic boundary value problem u (4)−βu″+αu=f(t, u), 0⩽t⩽1, u (i)(0)=u (i)(1), i=0,1,2,3, where f : [0, 1]× R +→ R + is continuous, α, β∈ R and satisfy 0< α<( β/2+2 π 2) 2, β>−2 π 2, α/ π 4+ β/ π 2+1>0. The discussion is based on a new maximum principle for operator L 4 u=u (4)−βu″+αu in periodic boundary condition and fixed point index theory in cones.
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.
