Results 61 to 70 of about 6,730 (164)

Unified gross substitutes and inverse isotonicity for equilibrium problems

Theoretical Economics, Volume 20, Issue 3, Page 941-971, July 2025.
We introduce a notion of substitutability for correspondences and establish a monotone comparative static result. More precisely, we introduce the notions of unified gross substitutes and nonreversingness and show that if Q:P⇉Q is a supply correspondence defined on a set of prices P, which is a sublattice of RN, and Q satisfies these two properties ...
Alfred Galichon, Larry Samuelson, Lucas Vernet   +2 more
wiley   +1 more source

Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential

Journal of Inequalities and Applications, 2019
Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed, Mahmoud M. El-Borai, A. S. Okb El Bab, M. Elsaid Ramadan   +3 more
doaj   +1 more source

Tropical analysis: With an application to indivisible goods

Theoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.
We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
wiley   +1 more source

Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem

Special Matrices, 2016
A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis.
Tam Tin-Yau, Hill William C.
doaj   +1 more source

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

Solvability and controllability of second-order non-autonomous impulsive neutral evolution hemivariational inequalities

AIMS Mathematics
The primary aim of this article is to explore the approximate controllability of second-order impulsive hemivariational inequalities with initial conditions in Hilbert space.
Yong-Ki Ma, N. Valliammal, K. Jothimani , V. Vijayakumar   +3 more
doaj   +1 more source

Toward stochastic imperfect interfaces

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 4, April 2025.
Abstract In this article, we propose two families of models for damaged materials that take uncertainties into account. First, in the context of standard materials, two volume models are proposed. Uncertainties are introduced using the Itô integral. Second, two interface models are proposed. For this, a technique of asymptotic developments is proposed,
Caroline Bauzet, Serge Dumont, Frédéric Lebon, Flore Nabet   +3 more
wiley   +1 more source

Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance

Electronic Journal of Differential Equations, 2019
In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove
Silvia Frassu, Eugenio M. Rocha, Vasile Staicu   +2 more
doaj  

Weakened subdifferentials and Frechet differentiability of real functions [PDF]

Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
core  

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