Direct computation of operational matrices for polynomial bases.
Direct solution of th-order IVPs by homotopy analysis method.
Directional transition matrix
We present a generalization of topological transition matrices introduced in [6].
Directory of the invited mathematicians
Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions
Sufficient conditions are given for the solvability of an impulsive Dirichlet boundary value problem to forced nonlinear differential equations involving the combination of viscous and dry frictions. Apart from the solvability, also the explicit estimates of solutions and their derivatives are obtained. As an application, an illustrative example is given, and the corresponding numerical solution is obtained by applying Matlab software.
Dirichlet boundary value problems of nonlinear functional difference equations with Jacobi operators.
Dirichlet Green functions for parabolic operators with singular lower-order terms.
Dirichlet problem for a second order singular differential equation.
Dirichlet-Neumann bracketing for boundary-value problems on graphs.
Dirichlet's problem on a snowflake
Disconjugacy and disfocality criteria for second order singular half-linear differential equations
We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation , where α ∈ (0,1] and the functions are allowed to have singularities at the end points t = a, t = b of the interval under consideration.
Disconjugacy and multipoint boundary value problems for linear differential equations with delay
Disconjugacy criteria for linear vector differential equations
Disconjugate operators and related differential equations.
Discontinuous Liapunov functions for differential equations with measurable right-hand sides
Discontinuous solutions of neutral functional differential equations.
The fundamental theory of existence, uniqueness and continuous differentiability of Lp-solutions for Neutral Functional Differential Equations is presented. Also, the spectrum of the solution operator of general autonomous linear NFDEs is described. Finally, an extension of Hartman Grobman Theorem on local conjugacy near a hyperbolic equilibrium is proved.
Discrete Inverse Sturm-Liouville Problems. I. Uniqueness for Symmetric Potentials.
Discrete maximum principle for interior penalty discontinuous Galerkin methods
A class of linear elliptic operators has an important qualitative property, the so-called maximum principle. In this paper we investigate how this property can be preserved on the discrete level when an interior penalty discontinuous Galerkin method is applied for the discretization of a 1D elliptic operator. We give mesh conditions for the symmetric and for the incomplete method that establish some connection between the mesh size and the penalty parameter. We then investigate the sharpness of...
Discrete methods and exponential dichotomy of semigroups.
Discrete spectrum and principal functions of non-selfadjoint differential operator
In this article, we consider the operator defined by the differential expression in , where is a complex valued function. Discussing the spectrum, we prove that has a finite number of eigenvalues and spectral singularities, if the condition holds. Later we investigate the properties of the principal functions corresponding to the eigenvalues and the spectral singularities.