Results 211 to 220 of about 10,322 (241)

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

Nonlinearity Properties of the Mixing Operations of the Block Cipher IDEA

2003
In this paper we study the nonlinearity properties of the mixing operations ⊙, \(\boxplus\) and ⊕ used in IDEA. We prove that the nonlinearity of the vector function corresponding to the multiplication operation ⊙ is zero for some key points. The Multiplication-Addition (MA) structure of IDEA is slightly changed to avoid the linearities due to these ...
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

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

An Ergodic Property for Certain Classes of Nonlinear Positive Operators

1986
Publisher Summary This chapter focuses on an ergodic property for certain classes of nonlinear positive operators. The classical theorems of Perron–Frobenius and of Jentzsch on positive matrices and positive linear integral operators, respectively, have seen many extensions in various directions.
Takao Fujimoto, Ulrich Krause
openaire   +1 more source

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

An approximation property of certain nonlinear Volterra integral operators

Mathematika, 1976
Let T be a nonlinear Volterra integral operator of the form (with I compact, a b ), whose kernel K = K ( x , t , u ) satisfies the following conditions ...
openaire   +1 more source

Regularity Properties of a Nonlinear Operator Associated to the Conformal Welding

2000
As it is well known, given a plane simple closed curve $\zeta$ with nonvanishing tangent vector, there exists a pair of suitably normalized Riemann maps $(F,G)$, where $F$ maps the open unit disk $\mathbb{D}$ of $\mathbb{C}$ onto the domain $\mathbb{I}[\zeta]$ interior to $\zeta$, and where $G$ maps the exterior $\mathbb{C} \setminus \mathrm{cl ...
LANZA DE CRISTOFORIS, MASSIMO, PRECISO, LUCA   +1 more
openaire   +1 more source

Nonlinear sampling type operators: Approximation properties and regular methods of summability

2001
The authors consider a general class of nonlinear integral operators of the form \[ (T_\omega f)(s)= \int_HK_\omega \bigl(s-h_\omega (t), f(h_\omega(t) \bigr)d \mu_H(t),\tag{1} \] where \(\omega>0\), \(s\in G\), \(G\) and \(H\) are topological groups, \(\{h_\omega\}\) is a family of homeomorphisms, \(\{K_\omega\}_{\omega >0}\) is a family of kernels ...
BARDARO, Carlo, VINTI, Gianluca
openaire   +2 more sources