Solutions of a system of functional differential equations in a right neighborhood of zero

Stevi? S.

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Solutions of a system of functional differential equations in a right neighborhood of zero

机译：零附近的一类泛函微分方程组的解

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We give some sufficient conditions for the system of nonlinear functional differential equations x' (qt)= x' (t)+F(t,x(t),x(φ _1(qt, x(φ _2(qt,?x(φ _k(qt,x(qt)))?)))), x'(g(t))),where q ∈(0,1) and functions F:[0,T]×? ~n×? ~n×? ~n→? ~n, φ _j:[0,T]×? ~n→[0,T],j=1,k and g:[0,T]→[0,T] are continuous, for the unique existence of continuously differentiable solutions x(t) on the interval [0,T],0

机译：我们为非线性泛函微分方程组x'（qt）= x'（t）+ F（t，x（t），x（φ_1（qt，x（φ_2（qt，？x （φ_k（qt，x（qt）））？））））），x'（g（t））），其中q∈（0,1）且函数F：[0，T]×？〜n×？〜n×？〜n→？〜n，φ_j：[0，T]×？〜n→[0，T]，j = 1，k和g：[0，T]→[0，T]是连续的，因为区间[0，T]上存在连续可微解x（t）的唯一性]，0

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《Applied mathematics and computation》 |2012年第3期|共9页
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Stevi? S.;
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正文语种 eng
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Continuously differentiable solutions; Iterated deviating argument; Right neighborhood of zero; System of functional differential equations;

机译：连续可微解;迭代变参数;右邻域零;泛函微分方程组;

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专利

1. Solutions of a system of functional differential equations in a right neighborhood of zero [J] . Stevi? S. Applied mathematics and computation . 2012,第3期

机译：零附近的一类泛函微分方程组的解
2. On the Structure of the Set of Continuously Differentiable Solutions for Systems of Functional-Differential Equations in a Neighborhood of a Singular Point [J] . G. P. Pelyukh Differential equations: A translation of differensial'nye uraveniya . 2007,第3期

机译：奇异点附近泛函微分方程组的连续微分解集的结构
3. Solutions converging to zero of some systems of nonlinear functional differential equations with iterated deviating argument [J] . Stevi? S. Applied mathematics and computation . 2012,第8期

机译：带有偏差变元的某些非线性泛函微分方程组收敛到零的解。
4. Non-oscillatory Solutions of Odd-dimensional System of Functional Differential Equations [C] . Xin Zhou Yan International Conference on Manufacturing Science and Engineering . 2012

机译：功能微分方程奇数系统的非振荡解
5. Symmetric systems of implicit functional differential equations: Existence of solutions and bifurcation results. [D] . Li, Zhichao. 2013

机译：隐式泛函微分方程的对称系统：解和分支结果的存在。
6. ON THE LIMIT OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS AS THE RETARDATION APPROACHES ZERO [O] . Richard Bellman, Kenneth L. Cooke 1959

机译：差法近似为零的微分方程解的极限
7. Existence of solutions with prescribed numbers of zeros of boundary value problems for ordinary differential equations with the one-dimensional $p$-Laplacian(Dynamics of functional equations and numerical simulation) [O] . Tanaka Satoshi, Naito Yuki 2006

机译：一维$ p $ -Laplacian常微分方程的边值问题为零的规定解的存在性（泛函方程和数值模拟）
8. Numerical Solution of Functional Equations by Means of Laplace Transform-V: Mismatched Systems of Linear Differential Equations [R] . Bellman, R. E., Kalaba, R. E., Lockett, J. 1964

机译：用拉普拉斯变换-V函数方程的数值解：线性微分方程的不匹配系统

Solutions of a system of functional differential equations in a right neighborhood of zero

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