On Calculating the Eigenvalues of the Finite Hill's Differential Equation
On certain multipoint boundary valued problems
On certain singular third order eigenvalue problem
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].
On certain third order boundary value problems on infinite interval
On certain third order eigenvalue problem
On certain three-point regular boundary value problems for nonlinear second-order differential equations depending on the parameter
On collocation methods for singular perturbation problems of convection-diffusion type.
On conditioning of Schur complements of H-TFETI clusters for 2D problems governed by Laplacian
Bounds on the spectrum of the Schur complements of subdomain stiffness matrices with respect to the interior variables are key ingredients in the analysis of many domain decomposition methods. Here we are interested in the analysis of floating clusters, i.e. subdomains without prescribed Dirichlet conditions that are decomposed into still smaller subdomains glued on primal level in some nodes and/or by some averages. We give the estimates of the regular condition number of the Schur complements...
On correctness of the generalized boundary value problem for systems of ordinary differential equations
On critical exponents for the Pucci's extremal operators
On differential operators with integral conditions.
On effective criteria of solvability of the boundary value problems for ordinary differential equations of the -th order
On equation on the line
On equivariant p-harmonic maps
On exact solutions of a class of interval boundary value problems
In this article, we deal with the Boundary Value Problem (BVP) for linear ordinary differential equations, the coefficients and the boundary values of which are constant intervals. To solve this kind of interval BVP, we implement an approach that differs from commonly used ones. With this approach, the interval BVP is interpreted as a family of classical (real) BVPs. The set (bunch) of solutions of all these real BVPs we define to be the solution of the interval BVP. Therefore, the novelty of the...
On existence and uniqueness of positive solutions for integral boundary boundary value problems.
On existence and uniqueness of solutions for ordinary differential equations with nonlinear boundary conditions
We prove an existence and uniqueness theorem for a nonlinear functional boundary value problem, that is, an ordinary differential equation with a nonlinear boundary condition. The proof is based on a Global Inversion Theorem of Ambrosetti and Prodi, which is applied to the boundary operator restricted to the manifold of the global solutions to the equation. Our result is a generalization of an analogous existence and uniqueness theorem of G. Vidossich, as it is shown with some examples.
On existence of solutions to the periodic boundary value problem for a nonlinear system of generalized ordinary differential equations.
On existence theorems for semilinear equations and applications
Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
On extremal solutions to infinite dimensional non-linear second order systems