Über die Fixpunktmengen einer Klasse Volterrascher Integraloperatoren in Banachräumen.
Über die L-Charakteristik nichtlinearer Operatoren in Räumen integrierbarer Funktionen.
Über die Lösungen Urysohnscher Integralgleichungen.
Über die numerische Behandlung VOLTERRAscher Integralgleichungen zweiter Art
Über die Vollständigkeit eines Systems von Funktionen, die von einem stetigen Parameter abhängen (Ein Beitrag zur Theorie der Integralgleichungen erster Art)
Über ein nichtlineares Schwingungsproblem mit nichtlinearer Dirichletbedingung.
Über eine Algebra ,,nicht normaler" Wiener-Hopf-Operatoren. I.
Über eine Algebra ,,nicht normaler'4 Wiener-Hopf-Operatoren. II.
Ueber Systeme von nichtlinearen Int gralgleichungen
Uniform asymptotic stability and robust stability for positive linear Volterra difference equations in Banach lattices.
Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals
In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10] to obtain criterion for the stability of the zero solution of the infinite delay nonlinear Volterra integro-differential equation [...]
Unique solutions of some Voltera integral equations.
Unique solvability of a linear problem with perturbed periodic boundary values
We investigate the problem with perturbed periodic boundary values with for some arbitrary positive real number , by transforming the problem into an integral equation with the aid of a piecewise polynomial and utilizing the Fredholm alternative theorem to obtain a condition on the uniform norms of the coefficients , and which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon that all...
Uniqueness in an inverse problem for an elasticity system.
Uniqueness of solutions to an Abel type nonlinear integral equation on the half line
We consider a convolution-type integral equation u = k ⋆ g(u) on the half line (−∞; a), a ∈ ℝ, with kernel k(x) = x α−1, 0 < α, and function g(u), continuous and nondecreasing, such that g(0) = 0 and 0 < g(u) for 0 < u. We concentrate on the uniqueness problem for this equation, and we prove that if α ∈ (1, 4), then for any two nontrivial solutions u 1, u 2 there exists a constant c ∈ ℝ such that u 2(x) = u 1(x +c), −∞ < x. The results are obtained by applying Hilbert projective metrics....
Uniqueness of the solution of a tangential derivative problem for an infinite system of nonlinear integro-differential equations of parabolic type
Universality of the best determined terms method
The properties are studied of the best determined terms method with respect to an a priori decomposition . The universal approximation to the normal solution of the first kind Fredholm integral equation is found.
Upper and lower bounds of solutions for fractional integral equations.
Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions
In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions for some classes of partial Hadamard fractional integral equations and inclusions.
Upper bound for the number of eigenvalues for nonlinear operators