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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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Nonlinear Evolution Inclusions with Causal Operators

2023
Tzanko Donchev   +3 more
openaire   +1 more source

Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2011
The author proves a sufficient condition for the global existence of bounded \(C^0\)-solutions for a class of nonlinear functional differential evolution equations of the form \[ u'(t)\in Au(t)+f(t), \,\, t\in [0,+\infty ), \] \[ f(t)\in F(t,u(t),u(t-\tau_1),\dots,u(t-\tau_n)), \,\, t\in [0,+\infty ) \] \[ u(t)=g(u)(t), \,\, t\in [-\tau ,0], \] where \(
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Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear Hilfer Fractional Evolution Inclusions

Applied Mathematics and Optimization, 2021
Yirong Jiang, Qiongfen Zhang, An Chen
exaly  

Periodic solutions of nonlinear evolutions inclusions in Banach spaces

2012
FEDER POCTI/MAT/55524 ...
Aizicovici, S.   +2 more
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Approximate controllability of fractional evolution inclusions with damping

Chaos, Solitons and Fractals, 2021
Xinge Liu, Meilan Tang
exaly  

SOLUTION MAP OF STRONGLY NONLINEAR IMPULSIVE EVOLUTION INCLUSIONS

Control Theory and Related Topics, 2007
X. XIANG, Y. PENG, W. WEI
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Existence of periodic solutions of nonlinear evolution inclusions in Banach spaces

Nonlinear Analysis: Real World Applications, 2010
Xiaoping Xue, Yi Cheng
exaly  

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