Benjamin-Ono equation on a half-line.
Bestimmung und Anwendung von Vekua-Resolventen.
Bifurcation theorems of Rabinowitz type for certain differential operators of the fourth order
This paper was inspired by the works of P. H. Rabinowitz. We study nonlinear eigenvalue problems for some fourth order elliptic partial differential equations with nonlinear perturbation of Rabinowitz type. We show the existence of an unbounded continuum of nontrivial positive solutions bifurcating from (μ₁,0), where μ₁ is the first eigenvalue of the linearization about 0 of the considered problem. We also prove the related theorem for bifurcation from infinity. The results obtained are similar...
Boundary value problem for Fuchsian partial differential equations and reflection of singularities
Boundary value problem with integral conditions for a linear third-order equation.
Boundary value problems for evolution inclusions
Boundary value problems for generalized analytic functions of several complex variables
Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains
Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations
In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type equations...
Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
Boundary-value problems of Hilbert type for linear p-areolar differential equations in the form
Brève communication. Une équation du second ordre