Nonlinear Operator Differential Equations (NODE)
Variation of Parameters for Causal Operator Differential Equations
... of nonlinear system and use this conclusion for stability and asymptotic behavior of a nonlinear ...a nonlinear operator differential equations of type ...
20
Special Multiplicative Operators for the Solution of ODE – Invariants and Representations
... multiplicative operator of differentiation is introduced in this ...multiplicative operator can be expressed as a product of two noncommutative but multiplicative exponential operators, though the ...
18
Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
... Madani in [] have compared the approximate solutions obtained by means of HPTM in a wide range of the problem’s domain with those results obtained from the exact an- alytical solutions and the HAM. This comparison ...
18
Existence results for m point boundary value problems of nonlinear fractional differential equations with p Laplacian operator
... Our work presented in this paper has the following features. Firstly, to the best of the author’s knowledge, there are few results on the existence of solutions for nonlinear frac- tional p-Laplacian differential ...
16
Multiple positive solutions for nonlinear mixed fractional differential equation with p Laplacian operator
... In this article, multiple positive solutions are considered for nonlinear mixed fractional differential equations with a p-Laplacian operator. Using the Avery–Peterson fixed point theorem, we conclude ...
12
The Solution of Binary Nonlinear Operator Equations with Applications
... 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 references [4,5] ...
5
Existence and Uniqueness of Positive Solutions for Fourth Order Nonlinear Singular Sturm Liouville Problems
... monotone operator, we study boundary value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions for the exis- tence and uniqueness of positive ...
8
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 ...
9
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 solution. ...
25
An operator method for telegraph partial differential and difference equations
... The telegraph hyperbolic partial differential equation is important for modeling several relevant problems such as signal analysis, wave propagation, random walk theory [–]. To deal with the equation, various ...
17
Existence of positive solutions of boundary value problems for high order nonlinear conformable differential equations with p Laplacian operator
... To the best of our knowledge, there are few studies that consider the existence of positive solutions on high-order fractional differential equations with p-Laplacian operator, espe- cially for conformable ...
17
The First Order Functional Differential Equation
... to nonlinear problems of any dynamical systems are existential in ...a differential equation, a fixed point theorem is used to prove the existence of solutions for equivalent operator equation which ...
10
Annual Growth Rate Analysis of Select Private Sector Sugar Mills in Tamilnadu
... of nonlinear equations can be solved analytically by above ...solve nonlinear equation, there is no a unified ...many nonlinear equations and result in a few new kinds of ...solve ...
6
The Study for Transient Neutron Transport with Pomrning-Eddington Approximation
... these equations into Eqs (22a & b) using Eqs (23a & b) lead to the expansion forms of the dimensionless energy density E(x, ) and the dimensionless net flux F(x, ...
8
Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method
... with λ and µ being constants. The positive integer m can be determined by considering the homogeneous balance between the highest-order derivatives and nonlinear terms appearing in Eq. (2). More precisely, we ...
7
3. Rank one solutions of some nonlinear operator equations
... the operator equations XA −AX = f(X ) and BX − XA = τ(X) and some other equations, where X is an unknown operator, f is an analytic function and τ is a linear map on L( E ...mentioned ...
5
Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory
... the node i from outside the network is exp ( ) λ i , the service time at the node i is exp ( ) µ i and after he finishes its service at the node i, a customer goes to the node j with the ...
16
Vol 2, No 9 (2011)
... The aim of the present paper is to study the global existence of solutions of the equations (1.1)–(1.2). The tools used in our analysis is based on an application of the topological transversality theorem known as ...
9
14. On the stability and instability of functional Volterra integro-differential equations of first order
... [9] John R. Graef, C. Tun¸ c and S. Sevgin, Behavior of solutions of non-linear functional Voltera integro -differential equations with multiple delays, Dynam. Systems Appl. 25 (2016) 39–46. [10] G. ...
10
The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... for nonlinear Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo ...
15