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[PDF] Top 20 Controllability for nonlinear evolution equations with monotone operators

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Controllability for nonlinear evolution equations with monotone operators

Controllability for nonlinear evolution equations with monotone operators

... Remark . In a similar way to Theorem ., we also obtain the existence of solutions of (.) in the case where f is a demicontinuous bounded mapping from [,T ] × V into H. Moreover, assume that f (t, · ) for each t is ... See full document

17

Approximate controllability and regularity for nonlinear differential equations

Approximate controllability and regularity for nonlinear differential equations

... semilinear evolution equations in Banach spaces has been established by several authors ...of nonlinear evolution equations with monotone ... See full document

14

Trajectory Controllability of Semilinear Differential  Evolution Equations with Impulses and Delay

Trajectory Controllability of Semilinear Differential Evolution Equations with Impulses and Delay

... of controllability (introduced by Kalman 1960) plays an important role in many areas of applied ...the controllability of linear and nonlinear deterministic systems ... See full document

7

Generalized monotone iterative method for nonlinear boundary value problems with causal operators

Generalized monotone iterative method for nonlinear boundary value problems with causal operators

... discusses nonlinear boundary value problems for causal differential equations where the right-hand side is the sum of two monotone ...the monotone iterative technique and establish the ... See full document

12

Regularization of nonlinear Ill-posed equations with accretive operators

Regularization of nonlinear Ill-posed equations with accretive operators

... Interest in accretive maps stems mainly from their firm connection with fixed point problems, evolution equations and co-variational inequalites in a Banach space (see, e.g. [6, 7, 8, 9, 10, 11, 12, 26]). ... See full document

23

Global rapid controllability of a class of semilinear evolution equations

Global rapid controllability of a class of semilinear evolution equations

... approximate controllability of the linear system ...approximate controllability results for nonlinear systems with ‘weak’ nonlinearities or in a certain proper subset of the state ...approximate- ... See full document

19

Existence of A New Class of Impulsive Riemann-Liouville Fractional Partial Neutral Functional Differential Equations with Infinite Delay

Existence of A New Class of Impulsive Riemann-Liouville Fractional Partial Neutral Functional Differential Equations with Infinite Delay

... the nonlinear function F only satisfies the Lipschitz condition, Debbouche and Baleanu [21] proved the con- trollability result of a class of fractional evolution nonlocal impulsive quasilinear delay ... See full document

13

Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

... the nonlinear integral equations, there were many researchers to investigate the existence of a fixed point for contraction-type mappings in partially ordered metric ... See full document

14

Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions

Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions

... fractional evolution systems without supposing the compactness of charac- teristic solution ...the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces ... See full document

22

Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions

Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions

... approximate controllability of fuzzy differential systems, likewise approximate controllability of backward stochastic evolution equations in Hilbert space as discussed in ...proximate ... See full document

16

Convergence of splitting algorithms for the sum of two accretive operators with applications

Convergence of splitting algorithms for the sum of two accretive operators with applications

... some nonlinear operators, for instance, evolution equations, complementarity problems, mini-max problems, variational inequalities and optimization problems; see [– ] and the references ... See full document

12

Common coupled fixed point results for operators without mixed monotone type properties and application to nonlinear integral equations

Common coupled fixed point results for operators without mixed monotone type properties and application to nonlinear integral equations

... of operators A, B : × → , where mixed monotone type properties of the operators are not assumed, while the pair of operators is assumed to sat- isfy a new two-dimensional order type property, ... See full document

20

Approximate controllability of fractional nonlocal evolution equations with multiple delays

Approximate controllability of fractional nonlocal evolution equations with multiple delays

... approximate controllability for nonlinear control ...approximate controllability of nonlinear fractional evolution systems has not yet been sufficiently ...approximate ... See full document

15

Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

... the controllability of nonlinear systems in finite- and infinite-dimensional Banach spaces, see the early survey paper by Balachandran and Dauer ...the controllability of the classical nonlinear ... See full document

10

Nonlinear random operator equations and inequalities in Banach spaces

Nonlinear random operator equations and inequalities in Banach spaces

... In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces.. A random Hammerstein integral eq[r] ... See full document

8

Monotone iterative technique for impulsive fractional evolution equations

Monotone iterative technique for impulsive fractional evolution equations

... of monotone iterative technique has been proved to be an effective and a flexible ...a monotone iterative method for an initial value problem for ordinary differential equa- ...the monotone iterative ... See full document

12

New Fixed Point Theorems for Mixed Monotone Operators with Perturbation and Applications

New Fixed Point Theorems for Mixed Monotone Operators with Perturbation and Applications

... mixed monotone operators has been a lot of discussion since they were introduced by Guo and Lakshmikantham (see [1]) in 1987, because they have not only important theoretical meaning but also wide ... See full document

9

A monotone projection algorithm for fixed points of nonlinear operators

A monotone projection algorithm for fixed points of nonlinear operators

... of nonlinear operator equations (inequalities) is important in the study of many real world ...various nonlinear mathematical models forms the major part of numerical ... See full document

12

Exact controllability of fractional order evolution equations in Banach spaces

Exact controllability of fractional order evolution equations in Banach spaces

... differential equations (FDE) are regarded as a more precise description of real life ...[1–5]. Controllability of linear and nonlinear fractional dynamical systems, which plays a vital role in various ... See full document

16

A general iterative algorithm for monotone operators with λ hybrid mappings in Hilbert spaces

A general iterative algorithm for monotone operators with λ hybrid mappings in Hilbert spaces

... maximal monotone, a different proof may be found in Takahashi et ...strongly monotone mapping, and let B be a maximal monotone operator on H with D(B) ⊆ ... See full document

17

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