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 ein nichtlineares Schwingungsproblem mit nichtlinearer Dirichletbedingung.
Unique solutions of some Voltera integral equations.
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....
Upper and lower bounds of solutions for fractional integral equations.
Upper bound for the number of eigenvalues for nonlinear operators
Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication)
Variational theory of set-valued Hammerstein operators in Banach function spaces. The eigenvalue problem
Vector integral equations with discontinuous right-hand side
We deal with the integral equation , with , and . We prove an existence theorem for solutions where the function is not assumed to be continuous, extending a result previously obtained for the case .
Viscosity solutions of nonlinear integro-differential equations
Volterra and Urysohn integral equations in Banach spaces.
Volterra integral and integrodifferential equations in two variables.
Volterra integral equations with iterations of linear modification of the argument.
Weak and strong topologies and integral equations in Banach spaces
The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel’skiĭ’s fixed point theorem due to Nashed and Wong are used to establish existence of and C solutions to Volterra and Hammerstein integral equations in Banach spaces.
Weighted Monte Carlo methods for approximate solution of a nonlinear Boltzmann equation.
Weighted norms and Volterra integral equations in spaces.
Zur Theorie der linearen und nichtlinearen Integralgleichungen. I. Teil: Entwicklung willkürlicher Funktionen nach Systemen vorgeschriebener
Zur Theorie der linearen und nichtlinearen Integralgleichungen.