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Existence of solutions of extremal problems

Cybernetics and Systems Analysis, 1995
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Extremal solutions and extremal norms of linear differential inclusions of order three

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
Linear differential inclusions arising in the theory of absolute stability of feedback systems with two time-varying sector nonlinearities are considered. It is shown that under controllability/observability assumptions in the case of zero Lyapunov exponent all the extremal solutions tend to the same (up to a positive scaling factor) antiperiodic ...
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Extremal solutions to a class of functional-differential equations

1997
The authors study, under Carathéodory assumptions, the existence, continuation and continuous dependence of extremal solutions to a general abstract class of hereditary differential equations of the form \(\dot{x}=g(t,x)\), \(t\in E\subset{\mathbb{R}}\), with some Volterra property assumed on \(g:E\times C(E)\rightarrow \mathbb{R}\).
CEPPITELLI, Rita, FAINA, Loris
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Extremal Solutions of Multivalued Differential Equations II

Results in Mathematics, 1989
Given a cone \(K\subset\mathbb{R}^ n\) and a set-valued differential equation \(\dot x\in F(t,x)\), \(t\in J=[0,a]\), the author wants to find an absolutely continuous solution which is minimal with respect to the ordering induced by \(K\). The assumptions on \(F\) are the following: (1) \(\| F(t,x)\|\leq c(t)(1+\| x\|)\), \(c\in L^ 1(J)\); (2) \(f(t,x)
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Thermodynamics of Extremely Diluted Aqueous Solutions

Annals of the New York Academy of Sciences, 1999
V, Elia, M, Niccoli
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Extreme point solution

2001
Saul I. Gass, Carl M. Harris
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Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian

Journal of Mathematical Analysis and Applications, 2021
Antonio Iannizzotto, Silvia Frassu
exaly  

Boundedness of extremal solutions in dimension 4

Advances in Mathematics, 2013
Salvador Villegas
exaly  

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