Results 31 to 40 of about 94 (68)

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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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
semanticscholar   +1 more source

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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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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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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ON THE SEQUENTIAL STRONG-WEAK CLOSEDNESS OF THE NEMYTSKIJ MULTIVALUED OPERATOR

, 2002
Let Q be a measure space, and E, F be separable Banach spaces. Given a multifunction / : fi x E —> 2, denote by N f ( x ) the set of all measurable selections of the multifunction /(• , x(s)), for a function x : £1 —> E.
Hong Thai Nguyen
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ON NONLINEAR INTEGRAL EQUATIONS IN SOME FUNCTION SPACES

, 2002
There axe established some conditions for existence of solutions of a nonlinear integral equation Tf = f + g, where Τ is a convolution-type integral operator. 1.
C. Bardaro, J. Musielak, G. Vinti
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Characterization of Short-Memory Hysteresis Operators

, 2007
We look for a parametric description of a class of hysteresis operators possessing a natural set of properties, including short memory. The results of this type are known as realization or characterization theorems; up to date, mainly onedimensional ...
A. A. Vladimirov
core  

A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]

Fract Calc Appl Anal, 2023
Lan K, Webb JRL.
europepmc   +1 more source

EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS

Proceedings of the Edinburgh Mathematical Society, 2003
G. Infante
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