Terminal value problem for singular ordinary differential equations: theoretical analysis and numerical simulations of ground states.
Test for disconjugacy of a differential inclusion of neutral type.
The analysis of contour integrals.
The basis property in of the boundary value problem rationally dependent on the eigenparameter
We consider a Sturm-Liouville operator with boundary conditions rationally dependent on the eigenparameter. We study the basis property in of the system of eigenfunctions corresponding to this operator. We determine the explicit form of the biorthogonal system. Using this we establish a theorem on the minimality of the part of the system of eigenfunctions. For the basisness in L₂ we prove that the system of eigenfunctions is quadratically close to trigonometric systems. For the basisness in ...
The best constant of Sobolev inequality corresponding to clamped boundary value problem.
The Blasius function in the complex plane.
The Cauchy-Nicoletti problem with poles.
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.
The Convergence of Spline Collocation for Strongly Elliptic Equations on Curves.
The dependence of the eigenvalues of the Sturm-liouville problem on boundary conditions
The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations.
The effect of a spatial variable on the criticality of a boundary value problem
The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula
The Sturm-Liouville eigenvalue problem is symmetric if the coefficients are even functions and the boundary conditions are symmetric. The eigenfunction is expressed in terms of orthonormal bases, which are constructed in a linear space of trial functions by using the Gram-Schmidt orthonormalization technique. Then an -dimensional matrix eigenvalue problem is derived with a special matrix , that is, if is odd.Based on the product formula, an integration method with a fictitious time, namely...
The equivalence of some integral equations and boundary value problems
The existence and uniqueness of positive solutions for integral boundary value problems.
The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance.
The existence of a solution of a nonlinear boundary value problem
The existence of countably many positive solutions for nonlinear th-order three-point boundary value problems.
The existence of multiple positive solutions of -Laplacian boundary value problems
The existence of periodic solutions for a class of nonlinear functional differential equations
This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.