Generalized clarke's subdifferential

Results 21 to 30 of about 45 (40)

Analyse non lisse : - Fonction d'appui de la Jacobienne généralisée de Clarke et de son enveloppe plénière - Quelques applications aux équations de Hamilton-Jacobi du premier ordre (fonctions de Hopf-Lax, Hamiltoniens diff. convexes, solutions sci) [PDF]

, 2000
The work we present in this manuscript is divided into two parts. The first part deals with the calculus of the support functions of Clarke's generalized jacobian and of its plenary hull, associated with a locally Lipschitz continuous mapping with range ...
Imbert, Cyril
core +2 more sources

A new kind of double phase elliptic inclusions with logarithmic perturbation terms II: Applications [PDF]

This paper studies several special cases of a double phase elliptic inclusion problem (DPEI) that involves a nonlinear and nonhomogeneous partial differential operator with unbalanced growth and logarithmic perturbation terms, and two multivalued ...
Lu, YS, Liu, YJ, Huang, XZ, Vetro, C
core +1 more source

Analysis and controllability of neutral integrodifferential systems governed by hemivariational inequalities with applications

Alexandria Engineering Journal
In this study, optimal and approximate control strategies are explored for a class of neutral integrodifferential systems. These systems are characterized by resolvent and history-dependent operators, operate within Hilbert spaces, and incorporate ...
Doha A. Kattan, Hasanen A. Hammad
doaj +1 more source

Operational Properties of SCN Function, Optimization Condition, and Exactness of Penalty Function for SCN Optimization

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
wiley +1 more source

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source

Superlinear perturbations of a double‐phase eigenvalue problem

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
wiley +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon +2 more
wiley +1 more source

Poluglatka Newtonova metoda u Banachovim prostorima [PDF]

, 2020
Ukratko, u ovome radu se bavimo Newtonovom metodom i njenim raznovrsnim poopćenjima. U prvom poglavlju proučavamo standardnu Newtonovu metodu za glatku realnu funkciju realne varijable.
Gunja, Marin
core

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan +6 more
wiley +1 more source

All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function

Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.
Abstract We construct a differentiable locally Lipschitz function f$f$ in RN$\mathbb {R}^{N}$ with the property that for every convex body K⊂RN$K\subset \mathbb {R}^N$ there exists x¯∈RN$\bar{x} \in \mathbb {R}^N$ such that K$K$ coincides with the set ∂Lf(x¯)$\partial _L f(\bar{x})$ of limits of derivatives {Df(xn)}n⩾1$\lbrace Df(x_n)\rbrace _{n ...
Aris Daniilidis +2 more
wiley +1 more source