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math.CA2018
Existence of solutions of integral equations defined in unbounded domains via spectral theory
Alberto Cabada, Lucía López-Somoza, F. Adrián F. Tojo
In this work we study integral equations defined on the whole real line. Using a suitable Banach space, we look for solutions which satisfy some certain kind of asymptotic behavior…
math.CA2018
Green's functions for even order boundary value problems
Alberto Cabada, Lucía López-Somoza
In this paper we will show several properties of the Green's functions related to various boundary value problems of arbitrary even order. In particular, we will write the expressi…
math.AP2018
An Alternative Explicit Expression of the Kernel of the One Dimensional Heat Equation with Dirichlet Conditions
Alberto Cabada
This paper is devoted to the study of the one dimensional non homogeneous heat equation coupled to Dirichlet Boundary Conditions. We obtain the explicit expression of the solution…