Results 21 to 30 of about 206 (66)

The superposition operator in the space of functions continuous and converging at infinity on the real half-axis

Advances in Nonlinear Analysis, 2019
We will consider the so-called superposition operator in the space CC(ℝ+) of real functions defined, continuous on the real half-axis ℝ+ and converging to finite limits at infinity.
Rzepka Beata, Ścibisz Justyna
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An Innovative Approach to the Product of k-Hybrid Functional Integral Equation

Abstract and Applied Analysis
MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
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Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations [PDF]

, 2010
AMS Subj. Classification: 47J10, 47H30, 47H10We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for ...
Halilović, Sanela
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Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence

, 2017
By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first
Infante, Gennaro, Minhós, Feliz
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Community detection in networks via nonlinear modularity eigenvectors [PDF]

, 2017
Revealing a community structure in a network or dataset is a central problem arising in many scientific areas. The modularity function $Q$ is an established measure quantifying the quality of a community, being identified as a set of nodes having high ...
Hein, Matthias, Mercado, Pedro, Tudisco, Francesco   +2 more
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Superposition operator problems of Hölder-Lipschitz spaces

Demonstratio Mathematica
Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
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A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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Periodic solutions of systems with asymptotically even nonlinearities [PDF]

, 2010
New conditions of solvability based on a general theorem on the calculation of the index at infinity for vector fields that have degenerate principal linear part as well as degenerate ... next order ...
Kloeden, Peter E., Krasnoselʹskij, Alexander M.   +1 more
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On the properties of the solution set map to Volterra integral inclusion

, 2017
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
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A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
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