solutionsforthefollowingsystemofnonlinearintegralequations ⎧ ⎨ ⎩ x 1 (t)=p(t)+f(t,x 1 (t),x 2 (t))+ t 0 V(t,s,x 1 (s),x 2 (s))ds, x 2 (t)=q(t)+g(t,x 1 (t),x 2 (t))+ ∞ 0 G(t,s,x 1 (s),x 2 (s))ds, (1.1) wheret∈R + =[0,∞),p...
Solving a System of Nonlinear Equations Using EliminationWe have seen that substitution is often the preferred method when a system of equations includes a linear equation and a nonlinear equation. However, when both equations in the system have like variables of the second degree, so...
Moreover, in the absence of the interior sources, we prove that the solution grows as an exponential function. 展开 关键词: Blow-up Life span Nonlinear damping Nonlinear source Wave equations DOI: 10.1007/s10883-014-9210-2 被引量: 3 ...
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We study the initial-boundary value problem for a system of nonlinear wave equations, involving nonlinear damping terms, in a bounded domain $Omega$ with the initial and Dirichlet boundary conditions. The nonexistence of global solutions is discussed under some conditions on the given parameters. Est...
I am in search of a library that has been created in JAVA that can be utilized to solve for roots of a nonlinear system of equations. Each equation has 2 variables, x and y, and will need a library that uses higher calculus equations. No ones that just solve for x. Most of the ...
This paper studies a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following system Dαu(t)=f(t,v(t),Dpv(t)),Dβv(t)=g(t,u(t),Dqu(t)),t∈(0,1),...
A Further Study on Using x = λ [αR + βP] (P = F-R(F·R)/||R||~2)and x = λ[αF +βP~*] (P~* = R - F(F·R)/||F||~2) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x) = 0 机译:关于使用x =λ[αR+βP](P = FR(F·R)/ || R...
The influence of the nonlinear factors as time-varying meshing stiffness, backlash of the gear pairs and errors is considered. By means of the Lagrange equation the multi-degree-of-freedom differential equations of motion are derived. The differential equations are very hard to solve for which ...
We introduce the concept of stability of solutions of a system of linear differential equations with an identically degenerate matrix as the coefficient of the derivative. We find necessary and sufficient conditions for the stability of such systems. We generalize the Floquet–Lyapunov theory to system...