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[PDF] Top 20 Optimality and existence for Lipschitz equations

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Optimality and existence for Lipschitz equations

Optimality and existence for Lipschitz equations

... HENDERSON, I., Uniqueness of solutions of right focal p.,[,,t boundary value problems for or.[nary dlfferenttal equations, J.. JAGKSON, L., Uniqueness of solutions of boundary value prob[r] ... See full document

8

Pareto Optimality and Existence of Quasi-Equilibrium in Exchange Economies with an Indefinite Future

Pareto Optimality and Existence of Quasi-Equilibrium in Exchange Economies with an Indefinite Future

... and existence of quasi- equilibrium in exchange economies where agents have utility functions that value consumption in an indefinite ...the existence of an interior solution to certain infinite dimensional ... See full document

43

Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

... The paper is organized as follows. In Section 2, we give associated notations and pre- liminaries. In Section 3, the mild solution of second-order nonlinear impulsive differen- tial equations is introduced and the ... See full document

17

Prederivatives of gamma paraconvex set valued maps and Pareto optimality conditions for set optimization problems

Prederivatives of gamma paraconvex set valued maps and Pareto optimality conditions for set optimization problems

... several existence theorems of prederivatives for γ - paraconvex set-valued mappings and cone-γ -paraconvex set-valued ...sufficient optimality conditions for the Pareto minimizers of set optimization problems ... See full document

11

Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions

Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions

... differential equations (NSFDEs in short) []. In , under the classic Lipschitz condition, Mao [, ] discussed the existence-and-uniqueness theorem, the L p -exponential estimates, exponential ... See full document

12

Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients

Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients

... the existence and uniqueness of mild solutions to ...the Lipschitz condition in 11 and the non-Lipschitz condition in 12 being regarded as special ... See full document

13

Neutral stochastic functional differential equations with Levy jumps under the local Lipschitz condition

Neutral stochastic functional differential equations with Levy jumps under the local Lipschitz condition

... the existence and uniqueness theorem of mild solutions to a class of stochastic neutral partial functional differential equations under non-Lipschitz conditions; Boufoussi [] and Luo [] studied ... See full document

24

A note on the solutions of neutral SFDEs with infinite delay

A note on the solutions of neutral SFDEs with infinite delay

... the existence and uniqueness of solution of the neutral stochastic functional differential infinite delay equations under a non-Lipschitz condition and a weakened linear growth ... See full document

11

Lipschitz stability of differential equations with non instantaneous impulses

Lipschitz stability of differential equations with non instantaneous impulses

... differential equations where the impulses are not instantaneous and they investigated the existence of mild and classical ...as existence to [, ], to stability [–], to periodic boundary value ... See full document

13

Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

... differential equations (FFDEs) driven by Liu’s process are a type of fractional differential ...novel existence and uniqueness theorem for the solutions of FFDEs under local Lipschitz and linear growth ... See full document

13

Successive approximation of solutions to doubly perturbed stochastic differential equations with jumps

Successive approximation of solutions to doubly perturbed stochastic differential equations with jumps

... the existence and uniqueness of solutions to doubly perturbed stochastic differential equations with jumps under the local Lipschitz condi- tions, and give the p-th exponential estimates of ... See full document

19

On the non Lipschitz stochastic differential equations driven by fractional Brownian motion

On the non Lipschitz stochastic differential equations driven by fractional Brownian motion

... the existence and uniqueness theorems of solutions to non-Lipschitz stochastic differential equations (SDEs) driven by fractional Brownian motion (fBm) with the Hurst parameter H ∈ ( 1 2 , ... See full document

15

Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching

Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching

... pantograph equations with Markovian switching (NSPEwMSs). Under the local Lipschitz condition and non-linear growth condition, the existence and almost sure sta- bility with general decay of the ... See full document

17

Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps

Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps

... the existence and uniqueness results of mild solution for Impul- sive SFDEs with infinite delay and Poisson jumps under non- Lipschitz condition with Lipschitz condition being considered as a special ... See full document

7

Lipschitz groups and Lipschitz maps

Lipschitz groups and Lipschitz maps

... a Lipschitz abelian group (Corollary ...and Lipschitz abelian groups are essentially the same ...of Lipschitz groups, the corresponding result Theorem ... See full document

8

Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational Like Inequalities

Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational Like Inequalities

... The existence of solutions and convergence of sequence generated by the algorithm for the generalized strongly nonlinear mixed variational-like inequalities are ... See full document

16

The averaging method for stochastic differential delay equations under non Lipschitz conditions

The averaging method for stochastic differential delay equations under non Lipschitz conditions

... The averaging principle plays an important role in dynamical systems in problems of me- chanics, physics, control and many other areas. The rigorous results on averaging princi- ples were firstly put forward by Krylov and ... See full document

12

On Generalized Multivalued Random Variational Like Inclusions

On Generalized Multivalued Random Variational Like Inclusions

... Motivated and inspired by the recent research work going in these fields [13-17], we consider the generalized multivalued random variational like inclusions and con- struct its random iterative algorithm. Then we prove ... See full document

8

Existence of solutions for a class of operator equations

Existence of solutions for a class of operator equations

... the existence of nontrivial solutions on higher order boundary value problems, see ...new existence theorems on unique, at least one nontrivial and infinitely many solutions were ...the existence and ... See full document

11

Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

... We also introduce new concepts of 0-uniform Lipschitz stability and t,,k, 0-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems.. Ou[r] ... See full document

6

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