[PDF] Top 20 Second-Order Duality for Variational Problems

... of problems, in pure ...the duality results in the mathematical programming have the ana- logues in calculus of ...constrained variational problem as mathematical programming problem in abstract ... See full document

... multiobjective variational prob- lem are ...type second-order nondifferentiable multiobjective dual variational problems is ...Various duality results for the pair of Mond-Weir ... See full document

... dual variational problems with natural boundary values rather than fixed end ...for duality theo- rems for this pair of dual problems is omitted as they follow immediately on the basis of ... See full document

... type second order dual to a class of nondifferentiability continuous programming problems where nondifferentiability enters due to the square root of a certain quadratic form appearing in the ... See full document

... various duality theorems for this pair of Mond- Weir type dual problems are validated under second- order pseudo-invexity and quasi-invexity ...dual variational problems with ... See full document

... and duality relations between primal and dual problems are ...to second order and higher order as well as to other generalized convexity assumptions ...time problems as ... See full document

... mathematical problems is a new approach in the field of existence theory of solutions for mathematical problems that appear in mathematical ...the problems where it is dif- ficult to prove analytically ... See full document

... a second-order discretization and multigrid solution of elliptic nonlinear con- strained control problems in [], Hinze introduced a variational discretization concept for optimal control ... See full document

... The relations (29)-(32) are all deducible from the classical Euler-Lagrange and Clebsch necessary optimality conditions. Particularly, the equations (29)-(32) are the famous Euler-Lagrange differential equation when ... See full document

... multiobjective variational problems of minimizing a vector-valued functional of curvilinear integral ...In order to prove the main results in the paper, we introduce the definition of univexity for a ... See full document

... They also incorporated a pair of second-order dual variational problems with natural boundary values rather than fixed end points and indicated their close relationship with those of cor[r] ... See full document

... to variational problems by Mond, Chandra and Husain ...for variational problems was also given by Bhatia and Kumar ...higher order derivative for variational problems was ... See full document

... introduced second-order h-invex function for multiobjective fractional programming problem and established weak and strong dua- lity ...programming problems, and proved duality theorems under ... See full document

... non-differentiable second order symmetric primal and dual problems in mathemati- cal ...strong duality theorems were established under second order F-convexity assump- ...dual ... See full document

... of second-order duality in nonlinear programming problems was first in- troduced by Mangasarian ...of second-order dual over first-order is that it may provide tighter ... See full document

... The definition of F -convexity in nonlinear programming was first introduced by Hanson and Mond [17]. Another definition of convexity called ρ-covexity was given by Vial [18]. Motivated by these concepts, Preda [19] ... See full document

... the variational formulation for the impulsive Dirichlet ...these problems can be understood and solved in terms of the minimization of a functional, usually related to the energy, in an appropriate space of ... See full document

... constrained variational problem involving higher order derivatives are ...various duality relationships between the primal problem and each o f the dual problems are established under invexity ... See full document

... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ... See full document

... Consider θ (t, x (·), ˙ x (·), ¨ x(·), ... x (·), y(·), ˙ y(·), ¨ y (·), λ) = 0 as defining a mapping ψ : X × Y × R p → B where Y is a space of piecewise twice differentiable function and B is the Banach Space. In ... See full document