Error minimization in approximate solution of integral equations
Essential norms of the Neumann operator of the arithmetical mean
Let () be a compact set; assume that each ball centered on the boundary of meets in a set of positive Lebesgue measure. Let be the class of all continuously differentiable real-valued functions with compact support in and denote by the area of the unit sphere in . With each we associate the function of the variable (which is continuous in and harmonic in ). depends only on the restriction of to the boundary of . This gives rise to a linear operator acting from...
Estimates of a stabilization rate as of solutions of a nonlinear integro-differential equation.
Estimation for bounded solutions of integral inequalities involving infinite integration limits.
Estimation of the condition number of a matrix in the direct discretization of the Symm equation on a quasi-uniform grid.
Estimations pour les noyaux singuliers
Étude de l'équation de Fredholm au voisinage d'une borne critique
Etude des Solutions d΄ une Classe d΄ Equatiens Integrodifferentielles Non lineaires aux Operateurs Hyperboliques Ayant Pour Limites des Fonctionnelles Integrales
Étude d'une fonction remarquable associée aux moyennes de convolution
Dans cet article nous étudions la série génératrice des poids alternés d’une moyenne de convolution induite par un processus de diffusion. Nous montrons que celle-ci est une fonction méromorphe, naturellement liée à un certain opérateur compact. Cette fonction est simplement égale à , lorsque le déterminant de Fredholm de cet opérateur existe, et nous la précisons dans les autres cas.
Evolution in a changing environment: existence of solutions
We establish the existence of solutions of an intrinsically nonlinear differential-integral equation that arises from the mathematical modelling of the evolution of an asexual population in a changing environment. The main objective is to pave the way for a rigorous analysis of the linear stability of travelling wave solutions of the corresponding problem.
Exemples de noyaux admettant des resolvantes.
Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.
Existence and approximate solutions of nonlinear integral equations.
Existence and asymptotic behavior of solutions for weighted -Laplacian integrodifferential system multipoint and integral boundary value problems in half line.
Existence and asymptotic expansion of solutions to a nonlinear wave equation with a memory condition at the boundary.
Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation
Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions which are defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions. Finally, we give an example to illustrate our abstract results.
Existence and attractivity results for a class of degenerate functional-parabolic problems
Existence and regularity of local solutions to partial neutral functional-differential equations with infinite delay.
Existence and stability for some partial functional differential equations with infinite delay.
Existence and stability of periodic solutions for a nonlocal evolution population problem.
The theory of maximal monotone operators is applied to prove the existence of weak periodic solutions for a nonlinear nonlocal problem. The stability of these solutions is a consequence of the Lipschitz continuous assumption on the diffusivity matrix and the death rate.