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[PDF] Top 20 Second order sufficient optimality conditions for a class of elliptic control problems

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Second order sufficient optimality conditions for a class of elliptic control problems

Second order sufficient optimality conditions for a class of elliptic control problems

... The study of the paper [5] reveals that first order sufficient optimality con- ditions can be extended also to state–constraints. However, this leads to a quite involved construction and more ... See full document

16

Sufficient Conditions of Optimality for Convex Differential Inclusions of Elliptic Type and Duality

Sufficient Conditions of Optimality for Convex Differential Inclusions of Elliptic Type and Duality

... optimal control prob- lems described by so-called discrete and differential in- clusions of elliptic ...of problems in economic dynamics, as well as classical problems on optimal con- trol in ... See full document

5

Vol 9, No 1 (2018)

Vol 9, No 1 (2018)

... a class of second-order neutral impulsive evolution differential inclusions of Sobolev- type in Hilbert ...a class of second-order control ...of sufficient ... See full document

17

Optimality of Distributed Control for n × n Hyperbolic Systems with an Infinite Number of Variables

Optimality of Distributed Control for n × n Hyperbolic Systems with an Infinite Number of Variables

... 2l order (n  n) cooperative systems governed by Dirichlet and Neumann problems involving hyperbolic operators with an infinite number of variables and with variable ...and sufficient ... See full document

11

RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients

RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients

... global problems are solved by a linear finite element method ...boundary conditions for solving basis functions which is empirical even though an over-sampling technique has been proposed (Hou and Wu, ... See full document

59

Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

... optimal control problems in finite dimensional spaces (see ...optimal control problems involving first-order nonlinear impulsive differential equations in finite (or infinite) ... See full document

17

On strong KKT type sufficient optimality conditions for multiobjective semi infinite programming problems with vanishing constraints

On strong KKT type sufficient optimality conditions for multiobjective semi infinite programming problems with vanishing constraints

... many problems from structural topology optimization can be reformulated as ...first order sufficient and second order necessary and sufficient opti- mality conditions for ...established ... See full document

9

On the Second Order Optimality Conditions for Optimization Problems with Inequality Constraints

On the Second Order Optimality Conditions for Optimization Problems with Inequality Constraints

... review second order optimality conditions for (PE) in connection with those of ...that sufficient optimality conditions for (P) imply the same property for ... See full document

7

Necessary and Sufficient Optimality Conditions
for Optimization Problems in Function Spaces and Applications to
Control Theory

Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory

... derive second order optimality conditions for optimal control problems of partial differential ...first order optimality conditions, only a few references ... See full document

13

Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form

Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form

... Under these assumptions, a minimum principle for the solutions u(x) of the nonlinear equation (1.1) follows immediately, that is, u(x) must assume its minimum value on ∂Ω. Sufficient conditions on the data, for the ... See full document

13

Error analysis of variational discretization solving temperature control problems

Error analysis of variational discretization solving temperature control problems

... It is well known that there are four major types of adaptive finite element methods, namely, the h-methods (mesh refinement), the p-methods (order enrichment), the r- methods (mesh redistribution) and the hp-methods ... See full document

15

Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

... In this paper, our purpose is to establish some sufficient conditions for the ex- istence of solutions for (1.1). First, we will construct a functional I such that so- lutions of (1.1) correspond to ... See full document

16

On the existence of bounded solutions of nonlinear elliptic systems

On the existence of bounded solutions of nonlinear elliptic systems

... System (1.1) results from the study of the nonlinear phenomena, such as the evo- lution of population, of chemical reaction, and so forth. A great attention was given to the existence of the solutions for a system of the ... See full document

12

Duality models for some nonclassical problems in the calculus of
variations

Duality models for some nonclassical problems in the calculus of variations

... These problems will enable us to treat (P) within the framework of convex ...the optimality and duality results estab- lished in the present study improve and extend a number of similar existing results for ... See full document

38

A posteriori error estimates of mixed finite element solutions for fourth order parabolic control problems

A posteriori error estimates of mixed finite element solutions for fourth order parabolic control problems

... optimal control problems governed by partial differential equations (PDEs, for short) play a great role in modern science, technology, engineering and so ...optimal control problems (see, ... See full document

20

Second order lower radial tangent derivatives and applications to set valued optimization

Second order lower radial tangent derivatives and applications to set valued optimization

... new class of lower radial tangent cones and two new kinds of second-order tangent sets, using which we introduce four new kinds of second-order tangent ...these ... See full document

19

A nonlinear p-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions

A nonlinear p-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions

... For second-order semilinear elliptic differential equations on bounded domains, Brezis and Lieb [] obtained an existence result of solutions for a class of elliptic equations with ... See full document

27

Minimization of nonsmooth integral functionals

Minimization of nonsmooth integral functionals

... Using concepts and techniques form nonsmooth analysis, we are able to obtain necessary and sufficient conditions for optimality in finite dimensional, convex problems see theorem 3.1 and[r] ... See full document

7

Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha

Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha

... [13] Y. Sun, W. P. Kuang, Z. G. Wang, On meromorphic starlike functions of reciprocal order α, Bull. Malays. Math. Sci. Soc. (2) 35(2) (2012), 469–477. [14] Z. G. Wang, Y. P. Jiang, H. M. Srivastava, Some ... See full document

11

Asymptotic behaviour of nonoscillating solutions of neutral delay differential equations of the second order with impulses

Asymptotic behaviour of nonoscillating solutions of neutral delay differential equations of the second order with impulses

... first order neutral impulsive differential equations by two basic methods, by construction of Lyapunov functionals [29–33], and by considering the asymptotic behavior of non-oscillatory and oscillatory solutions ... See full document

10

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