Results 211 to 220 of about 9,657 (246)

Factorization and General Properties of Nonlinear Toeplitz Operators

1989
From the authors introduction: ``The factorization problem for such operator functions (Wiener-Hopf, spectral and inner-outer) can be reformulated as purely operator-theoretic factorization problem concerning Toeplitz operators associated with a shift operator S on an abstract Hilbert space.
Ball, Joseph A., Helton, J. William
openaire   +2 more sources

A Nonlinear Mean Value Property for the Monge-Ampère Operator

Journal of Convex Analysis, 2021
In recent years there has been an increasing interest in whether a mean value property, known to characterize harmonic functions, can be extended in some weak form to solutions of nonlinear equations. This question has been partially motivated by the surprising connection between Random Tug-of-War games and the normalized p-Laplacian discovered some ...
Charro, Fernando, Manfredi, Juan J., Rossi, Julio, D., Blanc, Pablo   +4 more
openaire   +3 more sources

Approximation Properties of Truncated Nonlinear Mihesan Operators

Mathematical Methods in the Applied Sciences
ABSTRACT The Mihesan operator is the generalization of well‐known positive linear operators like Bernstein operators, Szász–Mirakjan operators, Baskakov operators, and Lupaş operators. In order to expand the theory of positive operators beyond the linear example, nonlinear positive operators are essential.
Hardikkumar B. Parmar, Prashantkumar G. Patel   +1 more
openaire   +2 more sources

On spectral properties of the Sturm–Liouville operator with power nonlinearity

Monatshefte für Mathematik, 2017
The eigenvalue problem for the equation \[y''=(\lambda-\alpha |y|^{2q})y\] with boundary conditions $y(0)=0=y(h)$ where $y'(0)=p$ and $\alpha, q, p>0$ is considered for real $\lambda$. It is shown that there are infinitely many isolated negative as well as infinitely many isolated positive eigenvalues.
openaire   +2 more sources

Properties of Some Nonlinear Operators

1996
This paper gives a brief survey of the author’s work in the area of nonlinear analysis. It includes the properties of Uryson integral operators and Nemyckii operators, the extreme values of some nonlinear functionals and their applications to the solution of some nonlinear operator equations.
openaire   +1 more source

Localization properties for nonlinear equations involving monotone operators

Mathematical Methods in the Applied Sciences, 2020
Using monotonicity methods, the Lagrange multiplier rule, and some variational arguments, we consider a type of localization results pertaining to the existence of critical points to action functionals on a closed ball. A variant of the Schechter critical point theorem on a ball in Hilbert and Banach spaces is obtained.
openaire   +1 more source

Differential Properties of the Operator of the Geometrically Nonlinear Problem of a Sandwich Plate Bending

Lobachevskii Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Badriev I., Bujanov V., Makarov M.
openaire   +2 more sources

Mapping Properties of Certain Nonlinear Integral Operators Involving Hornich Operations

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Convexity properties of images under nonlinear integral operators

Sbornik: Mathematics, 2014
Conditions are obtained for the image of a given set under a general completely continuous nonlinear integral operator to have convex closure. These results are used to establish the uniqueness of quasi-solutions of nonlinear integral equations of the first kind and to prove the solvability of equations of the first kind on a dense subset of the right ...
openaire   +1 more source

Qualitative properties of nonlinear parabolic operators II: the case of PDE systems

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Csóka, József, Faragó, István, Horváth, Róbert, Karátson, János, Korotov, Sergey   +4 more
openaire   +2 more sources