Results 271 to 280 of about 310,302 (319)

Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions

Nonlinearity, 2023
We consider a stochastic evolution inclusion having deterministic multi-valued nonlinearity and fractional Brownian motion with nonlinear diffusion. We establish the nonemptiness and compactness of its solution set.
Zhong-Xin Ma, José Valero, Jia-Cheng Zhao   +2 more
semanticscholar   +1 more source

On the "bang-bang" principle for nonlinear evolution inclusions

NoDEA : Nonlinear Differential Equations and Applications, 1999
The authors deal with the existence of solutions to an evolution inclusion of the form \[ x'(t) +A(t,x(t))\in{F(t,x(t))}\quad\text{a.e., }x(0)=x_{0}, \] in a Banach space, where the right-hand side is not necessarily convex-valued. It is an improvement of results by \textit{N. S. Papageorgiou} [Dyn. Syst. Appl. 2, No.
Tolstonogov, A. A., Tolstonogov, D. A.
openaire   +1 more source

Necessary and Sufficient Conditions for Viability for Nonlinear Evolution Inclusions

Set-Valued Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cârjă, Ovidiu, Necula, Mihai, Vrabie, Ioan I.   +2 more
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Modeling nonlinear fractional diffusion-wave equations with Burgers-type evolution equations

Journal of the Acoustical Society of America, 2019
Fractional partial differential equations (FPDEs) with a time derivative of fractional order are used to describe wave motion in complex viscoelastic media with non-traditional equations of motion. Kappler et al. [Phys. Rev.
B. Simon, M. Hamilton
semanticscholar   +1 more source

Exact soliton solutions of the perturbed nonlinear Schrödinger equation with conformable fractional derivative by two distinct methods

Modern physics letters B
This study investigates the perturbed nonlinear Schrödinger equation (PNLSE) in its conformable time fractional form, a model critical for understanding nonlinear optical phenomena and wave propagation in dispersive media.
Nursena Günhan Ay, Zehra Tat, E. Yaşar
semanticscholar   +1 more source

Impact of QCD energy evolution on observables in heavy-ion collisions

Physical Review C
We study how the inclusion of energy dependence as dictated by quantum chromodynamic (QCD) small-$x$ evolution equations affects key observables in ultra-relativistic heavy-ion collisions.
H. Mantysaari, B. Schenke, C. Shen, Wenbin Zhao   +3 more
semanticscholar   +1 more source

Nonlocal problem for evolution inclusions with one-sided Perron nonlinearities

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bilal, S., Cârjă, O., Donchev, T., Lazu, A. I.   +3 more
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Convergence results for nonlinear evolution inclusions

1995
In the first part of this paper the authors consider the sequence of abstract Cauchy problems \((1)_n\) \(u'\in - \partial^- f(u)+ {\mathcal G}_n(u)\), \(u(0)= x_n\), \(x_n\in D(f)\), and the limit problem (1) \(u'\in -\partial^- f(u)+ {\mathcal G}(u)\), \(u(0)= \overline x\), \(\overline x\in D(f)\) (where \(\partial^- f\) is the Fréchet ...
CARDINALI, Tiziana, F. Papalini
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Global Solutions for Nonlinear Delay Evolution Inclusions with Nonlocal Initial Conditions

Set-Valued and Variational Analysis, 2012
Under suitable assumptions, the author obtains a sufficient condition for the existence of global \(C^{0}\)-solutions for the following nonlinear functional evolution equation \[ \left\{\begin{aligned} u^{\prime }(t)&\in Au(t)+f(t), \;t\in \mathbb{R}_{+}, \\ f(t)&\in F(t,u(t),u_{t}), \;t\in \mathbb{R}_{+}, \\ u(t)&=g(u)(t), \;t\in [ -\tau ,0], \end ...
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Control problems for systems described by nonlinear second order evolution inclusions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author reviews some results obtained by himself and presents some new results for optimal control problems governed by second-order evolution inclusions.
openaire   +1 more source