Fundamental solutions of some linear operator equations and applications

DOI10.1023/A:1014529217268zbMath1072.47041OpenAlexW2126214024MaRDI QIDQ1599293

Kamil Oruçoğlu, Seyidali S. Akhiev

Publication date: 9 June 2002

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014529217268

zbMATH Keywords

Sobolev spacefundamental solutionBanach spaceRiemann functionlinear operatornonsmooth coefficient

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) General theory of partial differential operators (47F05) Applications of operator theory to differential and integral equations (47N20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items

Green and generalized Green's functionals of linear local and nonlocal problems for ordinary integro-differential equations ⋮ Construction of Green's functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient ⋮ The group-theoretical analysis of nonlocal Benney equation ⋮ Symmetry groups of the equations with nonlocal structure and an application for the collisionless Boltzmann equation ⋮ An application of symmetry groups to nonlocal continuum mechanics ⋮ A novel approach to construct the adjoint problem for a first-order functional integro-differential equation with general nonlocal condition ⋮ Invariant solutions of integro-differential vlasov-Maxwell equations in Lagrangian variables by Lie group analysis ⋮ Green's functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient