First order impulsive differential inclusions with periodic conditions.
First phases of the associated equation with parameters for the differential equation
Five integral inequalities; an inheritance from Hardy and Littlewood.
Fixed points and solutions of boundary value problems at resonance
We consider a simple boundary value problem at resonance for an ordinary differential equation. We employ a shift argument and construct a regular fixed point operator. In contrast to current applications of coincidence degree, standard fixed point theorems are applied to give sufficient conditions for the existence of solutions. We provide three applications of fixed point theory. They are delicate and an application of the contraction mapping principle is notably missing. We give a partial explanation...
Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells.
Floquet operators without absolutely continuous spectrum
Floquet theory for doubly-periodic differential equations
Focal decompositions for linear differential equations of the second order.
Fonctions de Mathieu et fonctions propres de l'oscillateur relativiste
Fractional BVPs with strong time singularities and the limit properties of their solutions
In the first part, we investigate the singular BVP , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where is a continuous operator, α ∈ (0, 1) and a < 0. Here, c D denotes the Caputo fractional derivative. The existence result is proved by the Leray-Schauder nonlinear alternative. The second part establishes the relations between solutions of the sequence of problems , u(0) = A, u(1) = B, where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t, u, u′) satisfying...
Fractional power function spaces associated to regular Sturm--Liouville problems.
Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
Fredholm linear operators associated with ordinary differential equations on noncompact intervals.
Fredholm property for a parameter dependent second order operator differential equation.
Fredholm-Stieltjes integral equations with linear constraints: duality theory and Green's function
Fučík spectra for vector equations.
Functional compression-expansion fixed point theorem.
Functions uniformly quiet at zero and existence results for one-parameter boundary value problems
We introduce the notion of uniform quietness at zero for a real-valued function and we study one-parameter nonlocal boundary value problems for second order differential equations involving such functions. By using the Krasnosel'skiĭ fixed point theorem in a cone, we give values of the parameter for which the problems have at least two positive solutions.
Funktionalgleichungen in reellen Vektorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos.
Funktionalgleichungen in reellen Verktorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos. (Short Communication).