On some properties of the superposition operator on topological manifolds [PDF]
, 2010 In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established.
Janusz Dronka
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Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains [PDF]
, 2014 We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations.
Infante, Gennaro, Pietramala, Paolamaria
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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. +1 more
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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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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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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 +2 more
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HYSTERESIS IN URYSOHN-VOLTERRA SYSTEMS
, 1999 This paper deals with the hysteresis operator coupled to the system of Urysohn-Volterra equations. The local solutions of the system as well as the global solutions have been obtained. AMS Mathematics Subject Classication : 45D05, 45G15, 47H30.
Prof. Dr. Mohamed Abdalla Darwish
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ON NEMYTSKIJ OPERATOR OF SUBSTITUTION IN THE C1 SPACE OF SET-VALUED FUNCTIONS
, 2008 We consider the Nemytskij operator, i.e., the operator of substitution, defined by ( Ν φ ) ( χ ) := G (χ, φ(χ)), where G is a given multifunction. It is shown that Ν maps C(7, C), the space of all continuously differentiable functions on the interval I ...
Jakub Jan Ludew
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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 nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]
, 2016 We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
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