Institution

North Carolina State University

Abstract

In this talk, we will analyze boundary value problems on infinite intervals subject to generalized boundary conditions. In particular, results are obtained for problems in the differential equation setting for a wide variety of problems. For such problems, we establish sufficient conditions for the existence of solutions as well as a qualitative description of solutions according to a parameter. Conditions for solvability are obtained by employing the Lyapunov-Schmidt procedure and an application of the implicit function theorem.

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Existence of Solutions to Boundary Value Problems on Infinite Intervals

In this talk, we will analyze boundary value problems on infinite intervals subject to generalized boundary conditions. In particular, results are obtained for problems in the differential equation setting for a wide variety of problems. For such problems, we establish sufficient conditions for the existence of solutions as well as a qualitative description of solutions according to a parameter. Conditions for solvability are obtained by employing the Lyapunov-Schmidt procedure and an application of the implicit function theorem.