The full periodicity kernel for a class of graph maps.
The fundamental solutions for fractional evolution equations of parabolic type.
The fundamental solutions for fractional evolution equations of parabolic type.
The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points
The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0 (M ) and T0...
The general solution of impulsive systems with Riemann-Liouville fractional derivatives
In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined. An example is also provided to illustrate the result.
The generalised ellipsoidal wave equation [0,3,11].
Explicit solutions are obtained of the linear differential equation of the second order with three regular singularities and one irregular singularity of the first type. The behavior at the point at infinity is discussed. An important special case is an algebraic form of the ellipsoidal wave equation.
The generalized approximation method and nonlinear heat transfer equations.
The generalized boundary value problem is a Fredholm mapping of index zero
In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero.
The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case.
The generalized coincidence index --- application to a boundary value problem
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension
The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.
The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions.
The generalized Turner-Bradley-Kirk-Pruitt equation.
The geometric theory of Volterra integral equations - a preliminary report
The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem.
The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm
We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.
The global solvability to the equations of motion of viscous gas with an artificial viscosity
The growth of solutions of algebraic differential equations
Suppose that is a meromorphic or entire function satisfying where is a polynomial in all its arguments. Is there a limitation on the growth of , as measured by its characteristic ? In general the answer to this question is not known. Theorems of Gol'dberg, Steinmetz and the author give a positive answer in certain cases. Some illustrative examples are also given.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part III. The Adaptive h-p Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.