Results 101 to 110 of about 351 (168)

Dirichlet μ-Parametric Differential Problem with Multivalued Reaction Term

open access: yesMathematics
We study a Dirichlet μ-parametric differential problem driven by a variable competing exponent operator, given by the sum of a negative p-Laplace differential operator and a positive q-Laplace differential operator, with a multivalued reaction term in ...
Mina Ghasemi   +2 more
doaj   +1 more source

Subdifferential of the Cost Function [PDF]

open access: yes, 1994
We give conditions to obtain equality between the Clarke subdifferentials of the optimal value function and those of objective function, in the particular case of the support function, called in this paper the cost ...
Benoist, J.
core   +1 more source

The effects of Clarke sub-differential and Poisson jumps on nonlocal controllability of Sobolev-type fractional stochastic differential inclusions

open access: yesJournal of Inequalities and Applications
This paper explores Sobolev-type Atangana–Baleanu fractional stochastic differential inclusions driven by fractional Brownian motion, incorporating Clarke sub-differentials, Poisson jumps, and nonlocal conditions.
Wael W. Mohammed   +4 more
doaj   +1 more source

Viable solutions to nonautonomous inclusions without convexity [PDF]

open access: yes, 2003
The existence of viable solutions is proven for nonautonomous upper semicontinuous differential inclusions whose right-hand side is contained in the Clarke subdifferential of a locally Lipschitz continuous ...
Tallos, Péter, Kánnai, Zoltán
core  

The differentiability of real functions on normed linear space using generalized subgradients [PDF]

open access: yes, 1987
The modification of the Clarke generalized subdifferential due to Michel and Penot is a useful tool in determining differentiability properties for certain classes of real functions on a normed linear space.
Giles, J.R.   +2 more
core   +1 more source

Approximate convexity and submonotonicity [PDF]

open access: yes, 2004
It is shown that a locally Lipschitz function is approximately convex if, and only if, its Clarke subdifferential is a submonotone operator. Consequently, in finite dimensions, the class of locally Lipschitz approximately convex functions coincides with ...
Daniilidis, Aris, Georgiev, Pando
core   +1 more source

Subdifferential Calculus for the Value Function in Nonconvex Dynamic Optimization in Banach Spaces [PDF]

open access: yes, 2011
This paper explores nonsmooth analysis for infinite-horizon dynamic programming in discrete time without convexity assumptions, exploiting Clarke subdifferentials for locally Lipschitz functions defined on Banach spaces.
SAGARA Nobusumi
core   +1 more source

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