Wachstumsordnung und Index der Lösungen linearer Differentialgleichungen mit rationalen Koeffizienten.
Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations
The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
Weak almost periodic and optimal mild solutions of fractional evolution equations.
Weak formulation of singular differential expressions in spaces of functions with minimal derivatives.
Weak solution for fractional order integral equations in reflexive Banach spaces
Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces.
Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces
Weak solutions of differential equations in Banach spaces
In this paper we prove a theorem for the existence of pseudo-solutions to the Cauchy problem, x' = f(t,x), x(0) = x₀ in Banach spaces. The function f will be assumed Pettis-integrable, but this assumption is not sufficient for the existence of solutions. We impose a weak compactness type condition expressed in terms of measures of weak noncompactness. We show that under some additionally assumptions our solutions are, in fact, weak solutions or even strong solutions. Thus, our theorem is an essential...
Weak solutions to differential equations with left and right fractional derivatives defined on
Weak stability of multivalued differential equations
Weak stabilizability of a nonautonomous and nonlinear system.
Weakly almost periodic solutions of linear equations in Banach spaces
Weierstrass preparation of quadratic differentials.
Weighted Cauchy-type problem of a functional differ-integral equation.
Weighted derivative and differential equations.
Weighted estimates for differential operators with operator-valued coefficients
Weighted fractional differential equations with infinite delay in Banach spaces
This paper is devoted to the study of fractional differential equations with Riemann-Liouville fractional derivatives and infinite delay in Banach spaces. The weighted delay is developed to deal with the case of non-zero initial value, which leads to the unboundedness of the solutions. Existence and uniqueness results are obtained based on the theory of measure of non-compactness, Schaude’s and Banach’s fixed point theorems. As auxiliary results, a fractional Gronwall type inequality is proved,...
Weighted inequalities and spectral problems.
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
Weighted pseudo almost periodic solutions for functional differential equations.