Results 31 to 40 of about 230 (67)
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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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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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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Superposition operator problems of Hölder-Lipschitz spaces
Demonstratio MathematicaLet 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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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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Advanced Nonlinear StudiesWe 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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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 topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations
Advanced Nonlinear StudiesWe 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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Semilinear mixed problems on Hilbert complexes and their numerical approximation
, 2010 Arnold, Falk, and Winther recently showed [Bull. Amer. Math. Soc. 47 (2010), 281-354] that linear, mixed variational problems, and their numerical approximation by mixed finite element methods, can be studied using the powerful, abstract language of ...
A. Bossavit +28 more
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