A semi-linear elliptic equation in a strip arising in a two-dimensional flame propagation model.
A semilinear perturbation of the identity in Hilbert spaces.
A system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces.
A topological version of the Ambrosetti-Prodi theorem
The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
A two-dimensional Hammerstein problem: The linear case.
A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.
A variational treatment for general elliptic equations of the flame propagation type : regularity of the free boundary
About the existence of integrable solutions of a functional-integral equation.
We improve (in some sense) a recent theorem due to Banas and Knap (1989) about the existence of integrable solutions of a functional-integral equation.
Abschnittzerlegungen bei oberen Schranken für Eigenwerte von Operatorpolynomen.
Abstract difference equations with nonlinearities having the local Lipschitz properties.
Abstract nonlinear Volterra integrodifferential equations with nonsmooth kernels
A Cauchy problem for an abstract nonlinear Volterra integrodifferential equation is considered. Existence and uniqueness results are shown for any given time interval under weak time regularity assumptions on the kernel. Some applications to the heat flow with memory are presented.
Abstract semilinear equations with small nonlinearities
An abstract differential equation and the potential bifurcation theorems by Krasnosel'skij
An abstract setting for boundary problems with affine symmetries
Two symmetries of affine type for any mapping acting between Banach spaces are described and studied. These symmetries translate certain structural properties of boundary value problems for differential operators to an abstract setting.
An abstract version of the resonance theorem
An existence theorem for the Urysohn integral equation in Banach spaces
An extension of invertibility of Hammerstein-type operators
My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.
An extension of the topological degree in Hilbert space.
An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings
We introduce an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal monotone...
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise