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second-order sufficient conditions

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

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

... established second order sufficient optimal- ity conditions for a class of elliptic boundary control problems with pointwise constraints on the ...on second order necessary ...

16

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

... the second- order necessary optimality conditions? The answer is ...provide sufficient second order conditions very useful to carry out the numerical analysis of the ...

13

Optimality conditions of second-order radial epiderivatives

Optimality conditions of second-order radial epiderivatives

... the second-order optimality conditions by using these derivatives in set-valued ...new second-order optimality conditions in set-valued optimiza- ...and sufficient ...

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Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

... some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for a class of second-order nonlinear difference equations were established ...

16

Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions

Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions

... the second order differential equation, and study nec- essary and sufficient conditions for the negative and positive eigenvalues of the boundary value ...

10

EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS

EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS

... with sufficient conditions for second-order dynamic equations on time ...of second-order differential equations to that case with second-order dynamic equations on ...

12

Vol 9, No 1 (2018)

Vol 9, No 1 (2018)

... of sufficient conditions are established for the approximate controllability for a class of Sobolev type second-order neutral impulsive evolution differential inclusions with nonlocal ...

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A class of quasicontractive semigroups acting on Hardy and weighted Hardy spaces

A class of quasicontractive semigroups acting on Hardy and weighted Hardy spaces

... of order greater than one. The theory of forms is used to provide conditions for the generation of semigroups by second order differential ...and sufficient conditions are given ...

12

Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations

Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations

... In this paper, we derive sufficient conditions which ensures that every solution of (1.1) is either oscillatory or tends to zero under the condition (1.11). Our work is motivated by Li et al. [10] and our ...

6

A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay

A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay

... This article, we study the sufficient conditions for the controllability of second-order impulsive partial neutral evolution differential systems with infinite delay in Banach spaces by [r] ...

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On stability and boundedness of solutions of a certain 
			fourth order delay differential equation

On stability and boundedness of solutions of a certain fourth order delay differential equation

... used Lyapunov functions to give sufficient conditions for stability and boundedness of a first-order and a second-order delay differential.. utilized his theorems to determine stability [r] ...

14

Necessary and Sufficient Conditions for Positive Solutions of Second Order Nonlinear Dynamic Equations on Time Scales

Necessary and Sufficient Conditions for Positive Solutions of Second Order Nonlinear Dynamic Equations on Time Scales

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ...

12

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 ...

7

Stability and boundedness of solutions of certain nonlinear delay differential equations of second order

Stability and boundedness of solutions of certain nonlinear delay differential equations of second order

... some sufficient conditions to guarantee the asymptotic stability and uniform boundedness of certain vector second-order nonlinear delay differential equations with a continuous deviating ...

12

Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations

Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations

... The oscillation problem for dynamic equations on time scales has attracted a lot of attention im- mediately after the discovery of time scale calculus. Although there are several such works in the literature, the ...

8

Oscillation Conditions for a Type of Second Order Neutral Differential Equations with Impulses

Oscillation Conditions for a Type of Second Order Neutral Differential Equations with Impulses

... of second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments and obtained sufficient conditions ensuring the oscillation ...

5

Second order optimality conditions for nonlinear programs and mathematical programs

Second order optimality conditions for nonlinear programs and mathematical programs

... that second-order information is a basic tool notably in optimality conditions and numerical ...optimality conditions to strongly convex functions of order γ with the help of first- and ...

14

A study of second order q difference equations with boundary conditions

A study of second order q difference equations with boundary conditions

... for second-order q-difference equations with anti-periodic boundary conditions (u(0) = -u (T), D q u(0) = -D q u(T)) for h = -1, and the results for an initial value problem of ...

10

Second-Order Boundary Value Problem with Integral Boundary Conditions

Second-Order Boundary Value Problem with Integral Boundary Conditions

... Malaguti, “On a nonlocal boundary value problem for second order nonlinear singular di ff erential equations,” Georgian Mathematical Journal , vol. Webb, “Positive solutions of some highe[r] ...

9

Second order integrability conditions for difference equations. An integrable equation.

Second order integrability conditions for difference equations. An integrable equation.

... from conditions (15) that only the even coe ffi cients of the corresponding recursion operators provide us with canonical conservation laws of equation (5), whereas in the case of first order recursion ...

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