Positive solutions for boundary-value problems of nonlinear fractional differential equations.
Positive solutions for higher-order nonlinear fractional differential equation with integral boundary condition.
Positive solutions for multipoint boundary value problem of fractional differential equations.
Positive solutions for three-point nonlinear fractional boundary value problems.
Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number. Furthermore, the bounded perturbation theorem presented in (Pazy, 1983) is not in general true in solution operators theory for models of fractional order γ (with 0 < γ ≤ 1). In this article, we introduce and study a model that can be understood as...
Positivity and stabilization of fractional 2D linear systems described by the Roesser model
A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation...
Possibly every real function is continuous on a non-meagre set.
Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.
Power-monotone sequences and Fourier series with positive coefficients.
Power-monotone sequences and Fourier series with positive coefficients.
Poznámka k článku V. Petrůva
Poznámka k jednomu problému K. Kartáka
Poznámka k větě o substituci pro Riemannův integrál
Poznámka k větě o substituci pro Riemannův integrál
Prevalence of backward stochastic differential equations with unique solution.
Prevalence of some known typical properties.
Přímý důkaz průkladného vzorce Lagrange-ova
Problèmes d'optimisation dépendant d'un paramètre à valeurs dans un espace de Banach
Problèmes variationnels et théorie du potentiel non linéaire
Processus gaussiens à variation finie