AbstractTheorems concerning the existence and the approximation of roots of operator equations in an abstract space are established and then applied, advantageously, to extend the theory of nonlinear eigenparameter problems
A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, wh...
AbstractThis paper deals with the solvability of the equation A(u) − S(u) = f, where A is a continuo...
AbstractIn this paper we study the class of differential operators T=∑j=1kQjDj with polynomial coeff...
AbstractThe minimax formula for linear eigenvalues of a linear operator is used to estimate the para...
In this paper we consider generalized eigenvalue problems for a family of operators with a polynomia...
AbstractThe purpose of this paper is to study the eigenvalue problems for a class of positive nonlin...
AbstractIn this paper we study the linked nonlinear multiparameter system yrn(Xr) + MrYr + ∑s=1k λs(...
AbstractNonlinear equations arising in the spectral theory of self-adjoint operator functions and re...
summary:Notions as the numerical range $W(S,T)$ and the spectrum $\s(S,T)$ of couple $(S,T)$ of homo...
AbstractThe eigenvalue problem L(p,λ)x=0 is considered, where the matrix L depends analytically on t...
Solution to equations in function space relating linear operator defined in subspace of Banach space...
We consider nonlinear eigenvalue problems of the form (*) Tx + epsilon B(x) = lambda x, where T is a...
summary:A survey of simple iterative processes is given with theorems and conditions for their conve...
AbstractWe consider the generalized eigenvalue problem x-Kx = μBx in a complex Banach space E. Here,...
AbstractIn this paper we continue our investigations, begun in the previous paper, of describing the...
A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, wh...
AbstractThis paper deals with the solvability of the equation A(u) − S(u) = f, where A is a continuo...
AbstractIn this paper we study the class of differential operators T=∑j=1kQjDj with polynomial coeff...
AbstractThe minimax formula for linear eigenvalues of a linear operator is used to estimate the para...
In this paper we consider generalized eigenvalue problems for a family of operators with a polynomia...
AbstractThe purpose of this paper is to study the eigenvalue problems for a class of positive nonlin...
AbstractIn this paper we study the linked nonlinear multiparameter system yrn(Xr) + MrYr + ∑s=1k λs(...
AbstractNonlinear equations arising in the spectral theory of self-adjoint operator functions and re...
summary:Notions as the numerical range $W(S,T)$ and the spectrum $\s(S,T)$ of couple $(S,T)$ of homo...
AbstractThe eigenvalue problem L(p,λ)x=0 is considered, where the matrix L depends analytically on t...
Solution to equations in function space relating linear operator defined in subspace of Banach space...
We consider nonlinear eigenvalue problems of the form (*) Tx + epsilon B(x) = lambda x, where T is a...
summary:A survey of simple iterative processes is given with theorems and conditions for their conve...
AbstractWe consider the generalized eigenvalue problem x-Kx = μBx in a complex Banach space E. Here,...
AbstractIn this paper we continue our investigations, begun in the previous paper, of describing the...
A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, wh...
AbstractThis paper deals with the solvability of the equation A(u) − S(u) = f, where A is a continuo...
AbstractIn this paper we study the class of differential operators T=∑j=1kQjDj with polynomial coeff...