Galerkin Approximations for the Two Point Boundary Problem Using Continuous, Piecewise Polynomial Spaces.
Galerkin-wavelet methods for two-point boundary value problems.
Gaps and bands of one dimensional periodic Schrödinger operators, II.
Gaps of one dimensional periodic AKNS systems.
Gaussian collocation via defect correction.
General boundary value problem for an integrodifferential system and its adjoint (continuation)
General exact solvability conditions for the initial value problems for linear fractional functional differential equations
Conditions on the unique solvability of linear fractional functional differential equations are established. A pantograph-type model from electrodynamics is studied.
General existence principles for nonlocal boundary value problems with -Laplacian and their applications.
General Framework, Stability and Error Analysis for Numerical Stiff Boundary Value Methods.
General solution of overdamped Josephson junction equation in the case of phase-lock.
Generalization of p-regularity notion and tangent cone description in the singular case
The theory of p-regularity has approximately twenty-five years’ history and many results have been obtained up to now. The main result of this theory is description of tangent cone to zero set in singular case. However there are numerous nonlinear objects for which the p-regularity condition fails, especially for p > 2. In this paper we generalize the p-regularity notion as a starting point for more detailed consideration based on different p-factor operators constructions.
Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations
In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.
Generalized boundary value problems with abstract side conditions and their adjoints. I
Generalized boundary value problems with linear growth
It is shown that for a given system of linearly independent linear continuous functionals , , the set of all -th order linear differential equations such that the Green function for the corresponding generalized boundary value problem (BVP for short) exists is open and dense in the space of all -th order linear differential equations. Then the generic properties of the set of all solutions to nonlinear BVP-s are investigated in the case when the nonlinearity in the differential equation has...
Generalized differential equations in the space of regulated functions (boundary value problems and controllability)
Boundary value problems for generalized linear differential equations and the corresponding controllability problems are dealt with. The adjoint problems are introduced in such a way that the usual duality theorems are valid. As a special case the interface boundary value problems are included. In contrast to the earlier papers by the author the right-hand side of the generalized differential equations as well as the solutions of this equation can be in general regulated functions (not necessarily...
Generalized Green's functions for higher order boundary value matrix differential systems.
Generalized L-splines and the multi-point boundary value problem [Abstract of thesis]
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions.
Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions.