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[PDF] Top 20 The Solution of Binary Nonlinear Operator Equations with Applications

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The Solution of Binary Nonlinear Operator Equations with Applications

The Solution of Binary Nonlinear Operator Equations with Applications

... studied binary operator equations and have obtained many con- clusions, such as references [1-3] ...contraction operator and obtain some general conclusions; some cor- responding results of ... See full document

5

Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications

Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications

... The nonlinear partial differential equations (NPDEs) are widely used to describe many important phenomena and dynamic processes in physics, chemistry, biology, fluid dynamics, plasma, optical fibers and ... See full document

13

Sign-changing solutions for asymptotically linear operator equations and applications

Sign-changing solutions for asymptotically linear operator equations and applications

... In this paper, by using the topological degree and fixed point index theory, the existence of three kinds of solutions (i.e., sign-changing solutions, positive solutions, and negative solutions) for asymptotically linear ... See full document

14

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

... differential equations and impulsive differential inclusions has been an object in- terest because of its wide applications in physics, biology, engineering, medical fields, industry and ...differential ... See full document

17

Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications

Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications

... The purpose of this article is first to introduce the concept of total quasi-j-asympto- tically nonexpansive mapping which contains many kinds of mappings as its special cases, and then by using hybrid algorithm to ... See full document

16

A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces

A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces

... the solution for nonlinear equations of fuzzy mappings and the convergence of sequences generated by the algorithms in Menger probabilistic normed ...some applications to random ... See full document

16

The Best Piecewise Linearization of  Nonlinear Functions

The Best Piecewise Linearization of Nonlinear Functions

... of nonlinear systems is an efficient tool for finding approximate solutions and treatment analy- sis of these systems, especially in application ...many applications for nonlinear and nonsmooth ... See full document

8

The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances

The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances

... of nonlinear fractional differential equations nowadays is a large subject of mathematics, which found numerous applications of many branches such as physics, en- gineering, and other fields connected ... See full document

15

A third order Newton-like Method and its applications

A third order Newton-like Method and its applications

... approximate solution of nonlinear operator equations in the setting of Banach ...integral equations, where the first derivative of involved operator not necessarily satisfy the ... See full document

32

Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

... A(x,x) + B(x, x) + e = x on ordered Banach spaces, where A, B are two mixed monotone operators and e ∈ P with θ ≤ e ≤ h, we prove a class of boundary value problems on elastic beam equation to have a unique ... See full document

25

Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means

Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means

... An operator connection is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, and the transformer ...normalized operator connection is ... See full document

13

3. Rank one solutions of some nonlinear operator equations

3. Rank one solutions of some nonlinear operator equations

... some operator equations in the setting of Banach ...compact operator solutions of AX = XA have been investigated; see ...of solution of matrix equations; see ... See full document

5

Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition

Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition

... a solution to nonlinear parabolic equations and systems has received a great deal of attention during the last few decades ...parabolic equations of the ... See full document

10

General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces

General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces

... general nonlinear random multivalued operator equations involving generalized m-accretive mappings in Banach ...resolvent operator technique for generalized m-accretive mapping due to Huang ... See full document

17

On iterative solution of nonlinear functional equations in a metric space

On iterative solution of nonlinear functional equations in a metric space

... In this paper we are using Kannan’s [i] criterion for the existence of the unique fixed point of an operator to build up a sequence of sufficient conditions which will guarantee the conv[r] ... See full document

10

Special Multiplicative Operators for the Solution of ODE – Invariants and Representations

Special Multiplicative Operators for the Solution of ODE – Invariants and Representations

... Nevertheless, it is clear that finding the invariant can be as much complex problem as solving the original differential equation. It was rather easy to determine invariants in Example 8. But the identification of v   ... See full document

18

Global solutions to a class of nonlinear damped wave operator equations

Global solutions to a class of nonlinear damped wave operator equations

... wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| p or f(u) = 0 is too special; some authors [12-14] discussed the regularity of ... See full document

9

Solution sensitivity of generalized nonlinear parametric (A,η,m) proximal operator system of equations in Hilbert spaces

Solution sensitivity of generalized nonlinear parametric (A,η,m) proximal operator system of equations in Hilbert spaces

... ,m)-proximal operator system of equations with non-monotone multi-valued operators in Hilbert ...inclusions, nonlinear implicit quasi-variational inclusions, and nonlinear mixed ... See full document

17

Semilocal analysis of equations with smooth operators

Semilocal analysis of equations with smooth operators

... SEMILOCAL ANALYSIS OF NONLINEAR OPERATOR EQUATIONS iterates reach S then they will stay in S and converge to a solution... Error bounds are available provided that one can evaluate the c[r] ... See full document

11

Variation of Parameters for Causal Operator Differential Equations

Variation of Parameters for Causal Operator Differential Equations

... takes the form u t x ( ) , = φ ( x + ct ) + ψ ( x − ct ) , where φ and ψ are twice differentiable functions. Notice that at the vertices of these solutions, u x t ( ) , will not be differentiable. Notice also the ... See full document

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