A method of ascent for solving boundary value problems

DOI10.1090/S0002-9904-1969-12397-9zbMath0188.16803MaRDI QIDQ5581917

Robert P. Gilbert

Publication date: 1969

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

partial differential equations

Related Items (18)

A new inverse problem for the diffusion operator ⋮ Existence of the transformation operator by the decomposition method ⋮ Half-inverse problem for diffusion operators on the finite interval ⋮ Determination of a differential pencil from interior spectral data ⋮ Inverse problem for a singular differential operator ⋮ Derivative-type ascent formulas for kernels of some half-space Dirichlet problems ⋮ Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside an interval ⋮ THE TRANSMUTATION METHOD AND SCHRÖDINGER EQUATION WITH PERTURBED EXACTLY SOLVABLE POTENTIAL ⋮ Solution of a discontinuous inverse nodal problem on a finite interval ⋮ Spectral problem for diffusion operator ⋮ Inverse problem for Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval ⋮ Über eine partielle Differentialgleichung mit p+2 Variablen und deren Zusammenhang mit den allgemeinen Kugelfunktionen ⋮ Half inverse problem for operators with singular potential ⋮ Inverse spectral problems for the Sturm-Liouville operator on a \(d\)-star graph ⋮ A transmutation approach to underwater sound propagation ⋮ A uniqueness theorem for inverse nodal problem ⋮ The scope of the function theoretic approach for equations permitting a separation of variables ⋮ Integral operators and complete families of solutions for \(\Delta^ 2_{p+2}u(x) + A(r^ 2)\Delta_{p+2}u(x) + B(r^ 2)u(x) = 0\)

Cites Work

• Integral Operators in the Theory of Linear Partial Differential Equations
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