The method of upper, lower solutions and monotone iterative scheme for higher order hyperbolic partial differential equations

Ravi P. Agarwal

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The method of upper, lower solutions and monotone iterative scheme for higher order hyperbolic partial differential equations

机译：高阶双曲型偏微分方程的上下，单调迭代法

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Uniformly monotone convergent iterative methods for obtaining multiple solutions of (n + m)th order hyperbolic partial differential equations together with initial conditions are discussed. Appropriate partial differential inequalities which connect upper and lower solutions, and variation of parameters formula is developed.

机译：讨论了获得第（n + m）次双曲型偏微分方程的多个解的均匀单调收敛迭代方法以及初始条件。给出了连接上下解的适当的偏微分不等式，并发展了参数公式的变化。

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《Journal of the Australian Mathematical Society》 |2009年第1期|共页
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Ravi P. Agarwal;
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中图分类数学;
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1. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
2. Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order [J] . Abbas S., Benchohra M. Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2010,第3期

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3. Monotone iterative technique for causal differential equations with upper and lower solutions in the reversed order [J] . Wenli Wang Boundary value problems . 2016,第1期

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4. Data local iterative methods for the efficient solution of partial differential equations [C] . Linda Stals, Ulrich Rude, Christian Weib, Biennial computational techniques and applications conference . 1998

机译：数据局部迭代方法，用于局部微分方程的有效解
5. Pseudo almost periodic solutions to some systems of nonlinear hyperbolic second-order partial differential equations. [D] . Al-Islam, Najja Shakir. 2009

机译：某些非线性双曲型二阶偏微分方程组的伪几乎周期解。
6. Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations [O] . Rasool Shah, Hassan Khan, Muhammad Arif, 2019

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7. The method of upper, lower solutions and hyperbolic partial differential equations [O] . Lakshmikantham V, Pandit S.G 1985

机译：上下解和双曲型偏微分方程的方法
8. A New Iterative Scheme for the Solution of Partial Differential Equations [R] . Kerr, A. D. 1970

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The method of upper, lower solutions and monotone iterative scheme for higher order hyperbolic partial differential equations

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