A Series Method for Solving Nonlinear Two-Point Boundary Value Problems.
A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression
Algebraic methods for solving boundary value problems.
By means of the reduction of boundary value problems to algebraic ones, conditions for the existence of solutions and explicit expressions of them are obtained. These boundary value problems are related to the second order operator differential equation X(2) + A1X(1) + A0X = 0, and X(1) = A + BX + XC. For the finite-dimensional case, computable expressions of the solutions are given.
An Equation With Left and Right Fractional Derivatives
Approximation de quelques problèmes de type Stokes par une méthode d'èlements finis mixtes.
Boundary value problems for ODEs
We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Common general practical method for solving ordinary and partial differential equations
Convolution product of periodic distributions and the Dirichlet problem on the unit disc
Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations
Curvilinear “tubes" in the retraction method and the behaviour of solutions for the system of differential equations
Deficiency indices of a differential operator satisfying certain matching interface conditions.
Differential equations with interface conditions
Equivariant degree of convex-valued maps applied to set-valued BVP
An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.
Existence and uniqueness theorems for third order boundary value problems
Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments
Linear and nonlinear variational inequalities on half-spaces
Multipoint boundary value problems for ODEs. Part II
We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Newton interpolating series at distinct points with coefficients in a real Banach algebra.
On a differential-algebraic problem
The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.
On a nonlinear nonlocal ODE and its applications