Eigenvalue problems and bifurcation of nonhomogeneous semilinear elliptic equations in exterior strip domains.
Eigenvalue problems for a quasilinear elliptic equation on .
Eigenvalue results for pseudomonotone perturbations of maximal monotone operators
Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X. Applying a recent degree theory of Kartsatos and Skrypnik, we establish the existence of an eigensolution to the nonlinear inclusion 0 ∈ T x + λ C x, with a regularization method by means...
Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces.
Eigenwertaussagen für kompakte und kondensierende mengenwertige Abbildungen in topologischen Vektorräumen
Ein Beitrag zur Verzweigungstheorie.
Ein „merkwürdiges” Spektrum für nichtlineare Operatoren
We define a spectrum for Lipschitz continuous nonlinear operators in Banach spaces by means of a certain kind of "pseudo-adjoint" and study some of its properties.
Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen.
Ein selektives Projektions-Iterationsverfahren und Anwendungen auf Verzweigungsprobleme.
Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen
Eine Existenzausgabe für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0.
Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben
Elastoplastic reaction of a container to water freezing
The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
Elliptic Equations with Noninvertible Fredholm Linear Part and Bounded Nonlinearities.
Elliptic resonance problems with unequal limits at infinity.
Enclosing roots of polynomial equations and their applications to iterative processes.
Enlargement Procedure for Resolution of Singularities at Simple Singular Solutions of Nonlinear Equations.
Equation with residuated functions
The structure of solution-sets for the equation is discussed, where are given residuated functions mapping between partially-ordered sets. An algorithm is proposed which produces a solution in the event of finite termination: this solution is maximal relative to initial trial values of . Properties are defined which are sufficient for finite termination. The particular case of max-based linear algebra is discussed, with application to the synchronisation problem for discrete-event systems;...
Equations with discontinuous nonlinear semimonotone operators
The aim of this paper is to present an existence theorem for the operator equation of Hammerstein type with the discontinuous semimonotone operator . Then the result is used to prove the existence of solution of the equations of Urysohn type. Some examples in the theory of nonlinear equations in are given for illustration.
Equilibrium for perturbations of multifunctions by convex processes.