Abstract
We consider the Dirichlet and Neumann boundary value problems for the hyperbolic Bessel-Struve equation u″(t) + kt−1(u′(t) - u′(0)) = Au(t) on the half-line t > 0, where k > 0 is a parameter and A is a densely defined closed linear operator in a complex Banach space E. Generally speaking, these problems are ill posed. We establish sufficient conditions on the operator coefficient A and the boundary elements for these problems to be uniquely solvable.
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