Results 11 to 20 of about 1,298 (143)

Weak solutions for the dynamic equations $x^{\Delta(m)}(t) = f (t; x(t))$ on time scales [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper we prove the existence of weak solutions of the dynamic Cauchy problem \begin{equation*} \begin{split} x^{(\Delta m)}(t)&=f(t,x(t)),\quad t\in T, \\ x(0)&=0, \\ x^\Delta (0)&=\eta _1 ,\dots,x^{(\Delta (m-1))}(0)=\eta _{m-1},\quad \eta ...
Aneta Sikorska-Nowak, Samir Saker
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Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions

International Journal of Differential Equations, 2018
By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
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Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness

Journal of Mathematical Analysis and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARDINALI, Tiziana, RUBBIONI, Paola
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Some noncompact types of fixed point results in the generalized Banach spaces with respect to the G–weak topology contexts and applications

Journal of Inequalities and Applications, 2023
This research deals with Krasnoselskii’s fixed point theorem where the entries operators do not need to be G-weakly compact and contraction. These results were obtained by using the so-called generalized measure of weak noncompactness and some user ...
Noura Laksaci, Ahmed Boudaoui, Bilel Krichen, Aiman Mukheimer, Thabet Abdeljawad   +4 more
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Measures of weak noncompactness in Banach spaces

Topology and its Applications, 2009
For a bounded subset \(H\) of a Banach space \(E\), the following quantities are considered: \[ \omega(H) = \inf\{\varepsilon > 0: H \subset K_\varepsilon + \varepsilon B_E \text{ and } K_\varepsilon \subset E \text{ is } w-\text{compact}\}; \] \[ \gamma(H) = \sup\left\{\left|\lim_n \lim_m f_m(x_n) - \lim_m \lim_n f_m(x_n) \right|: (f_m) \subset B_{E^*}
Angosto, C., Cascales, B.
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Solvability of a general nonlinear integral equation in $L^1$ spaces by means of a measure of weak noncompactness [PDF]

Journal of Integral Equations and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuli Wang
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Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness

Journal of Differential Equations, 2012
In [``A fixed point theorem of Krasnoselskii-Schaefer type'', Math. Nachr. 189, 23--31 (1998; Zbl 0896.47042)], \textit{T. A. Burton} and \textit{C. Kirk} proved the following theorem of Krasnoselskii-Schaefer type. Let \(\left( X,\| \cdot \| \right) \) be a Banach space and let \(A,B: X\rightarrow X\) be two continuous mappings.
Garcia-Falset, J., Latrach, K., Moreno Gálvez, Elena, Taoudi, M.-A.   +3 more
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On measures of weak noncompactness

Annali di Matematica Pura ed Applicata, 1988
The authors give an axiomatic definition of measures of weak noncompactness which is in some sense parallel to \textit{B. N. Sadovskij}'s definition of measures of (strong) noncompactness [see e.g. Usp. Mat. Nauk 27, No.1, 81-146 (1972; Zbl 0243.47033)]. The first explicit measure of weak noncompactness is due to \textit{F. S. de Blasi} [Bull.
Banaś, Józef, Rivero, Jesus
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Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation

Applied General Topology
In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the
Mohamed Khazou, Abdelmjid Khchine
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Solvability of functional quadratic integral equations with perturbation [PDF]

Opuscula Mathematica, 2013
We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak ...
Mohamed M. A. Metwali
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