Results 41 to 50 of about 335 (149)

A Novel Approach to Thermo‐Mechanically Coupled, Gradient‐Enhanced Damage Modeling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.
ABSTRACT Thermo‐mechanical damage, such as thermal shock, is a common engineering problem. It constitutes a challenging problem that damage and temperature are conversely interacting with each other: Material damage leads to an increase in temperature due to energy dissipation; temperature also influences damage evolution.
Fangrui Liu, Dustin Roman Jantos, Philipp Junker   +2 more
wiley   +1 more source

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Patricia J. Y. Wong   +3 more
wiley   +1 more source

Calculus Rules for V-Proximal Subdifferentials in Smooth Banach Spaces [PDF]

, 2016
In 2010, Bounkhel et al. introduced new proximal concepts (analytic proximal subdifferential, geometric proximal subdifferential, and proximal normal cone) in reflexive smooth Banach spaces.
Messaoud Bounkhel, Messaoud Bounkhel
core   +1 more source

On the Monotone Variational Inclusion Problems: A New Algorithm‐Based Modified Splitting Approach

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce and analyze an inertial viscosity forward–backward splitting approach. We approximate a common solution of the monotone variational inclusion problem by using the demicontractive mapping in a real Hilbert space. It is shown that the sequence produced by our suggested algorithm has a strong convergence to a solution obtained ...
Uzoamaka A. Ezeafulukwe, George B. Akuchu, Sina Etemad, Austine E. Ofem, Godwin C. Ugwunnadi, Zaher Mundher Yaseen, Xian-Ming Gu   +6 more
wiley   +1 more source

Trajectory Controllability of Clarke Subdifferential-Type Conformable Fractional Stochastic Differential Inclusions with Non-Instantaneous Impulsive Effects and Deviated Arguments

, 2023
In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system’s mild solution (1).
Ravikumar Kasinathan, Ramkumar Kasinathan, Dimplekumar Chalishajar, Varshini Sandrasekaran   +3 more
core   +1 more source

Fréchet Subdifferential Calculus and Optimality Conditions in Nondifferentiable Programming

, 2005
We develop various (exact) calculus rules for Frechet lower and upper subgradients of extended-realvalued functions in general Banach spaces. Then we apply this calculus to derive new necessary optimality conditions for some remarkable classes of ...
Yen, N. D., Mordukhovich, Boris S, Nam, Nguyen Mau   +2 more
core  

Fine properties of the subdifferential for a class of one-homogeneous functionals [PDF]

, 2015
We collect here some known results on the subdifferential of one-homogeneous functionals, which are anisotropic and nonhomogeneous variants of the total variation and establish a new relationship between Lebesgue points of the calibrating field and ...
Goldman, Michael, Antonin Chambolle, Chambolle, Antonin, Michael Goldman, Antonin Chambolle, Novaga, Matteo, Matteo Novaga   +6 more
core   +1 more source

Mild solutions and controllability of fractional evolution inclusions of Clarke's subdifferential type with nonlocal conditions in Hilbert spaces

, 2023
In this work, our aim is to ensure the existence of mild solutions and study the controllability of fractional evolution inclusions of Clarke's subdifferential type of order q∈(1,2) with nonlocal conditions in the setting of Hilbert spaces.
Sadam Hussain, Muhammad Sarwar, Manuel De La Sen, Gul Rahmat, Hassen Aydi   +4 more
core   +1 more source

Preface to "Optimization, Convex and Variational Analysis". [PDF]

Set Valued Var Anal, 2021
Aussel D, Hantoute A, López M, Sagastizábal C.   +3 more
europepmc   +1 more source

Optimality Conditions and Subdifferential Calculus for Infinite Sums of Functions

Journal of Optimization Theory and Applications
Abstract The paper extends the widely used in optimisation theory decoupling techniques to infinite collections of functions. Extended concepts of uniform lower semicontinuity and firm uniform lower semicontinuity are discussed. The main theorems give fuzzy subdifferential necessary conditions (multiplier rules) for a local minimum of
Abderrahim Hantoute, Alexander Y. Kruger, Marco A. López 0001   +2 more
openaire   +2 more sources