Existence of solutions to integral type BVPs for second order ODEs on the whole line
Abstract
Some integral type boundary value problems (BVPs) for second order differential equations (ODEs) with one-dimensional p-Laplacian on the whole line are discussed. Sufficient conditions to guarantee the existence of solutions are established. The emphasis is put on the one-dimensional p-Laplacian term [ρ(t)Φ(x'(t))]' involved with the nonnegative function ρ that may satisfy $\rho(0)=0$, and the differential equations are defined on the whole line.
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