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Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations.

机译：非线性，强耦合，抛物型微分方程组解的误差界和唯一性。

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The boundary value problem for a nonlinear, strongly coupled, parabolic system of differential equations in a box is considered. The system consists of 2 equations with 3 unknowns. The right sides of the differential equation satisfy Lipschitz conditions. Error bounds for an approximate solution are given. A uniqueness theorem is proven. The results are derived with the aid of the theory of differential inequalities and by using a theorem of Kolmogorov for the solution of the Landau problem.

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作者
Nickel, K.;
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年度 1976
页码 1-24
总页数 24
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Partial differential equations; Nonlinear differential equations; Boundary value problems; Approximation; Numerical integration; Theorems; Inequalities; Parabolic differential equations; Uniqueness theorems;

机译：偏微分方程;非线性微分方程;边值问题;逼近;数值积分;定理;不等式;抛物微分方程;唯一性定理;

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1. Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations [J] . Fabio Punzo Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第8期

机译：奇异非线性抛物方程的有界解的唯一性和非唯一性
2. Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations [J] . LucasJódar International journal of mathematics and mathematical sciences . 1992,第4期

机译：偏微分方程耦合隐式系统的精确，近似解和误差界
3. Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations [J] . Bashir Ahmad, Ahmed Alsaedi Fixexd point theory and applications . 2010,第1期

机译：高阶非线性分数阶微分方程耦合系统解的存在唯一性
4. Multiple positive solution to boundary value problems for a coupled systems of nonlinear semipositone fractional differential equations [C] . Yang Donghui Control and Decision Conference (CCDC), 2012 24th Chinese . 2012

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5. The renormalization group and large-time behaviour of solutions of nonlinear parabolic partial differential equations. [D] . Lin, Guotian. 1994

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6. Multiple positive solutions to a coupled systems of nonlinear fractional differential equations [O] . Kamal Shah, Rahmat Ali Khan -1

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7. More common errors in finding exact solutions of nonlinear differential equations. I [O] . Popovych, Roman O., Vaneeva, Olena O. 2009

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Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations.

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