Periodic solutions for nonlinear equations with mean curvature-like operators

Benevieri P; do O JM; de Medeiros ES

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Periodic solutions for nonlinear equations with mean curvature-like operators

机译：具有均值曲率算子的非线性方程的周期解

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摘要

We give an existence result for a periodic boundary value problem involving mean curvature-like operators in the scalar case. Following [R. Mandsevich, J. Mawhin, Periodic solutions for nonlinear systems with p-Laplacian-like operators, J. Differential Equations 145 (1998), 367-393], we use an approach based on the Leray-Schauder degree. (C) 2006 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2007年第5期|共9页
作者
Benevieri P; do O JM; de Medeiros ES;
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正文语种 eng
中图分类应用数学;
关键词
mean curvature-like operators; Leray-Schauder degree; homotopy invariance; LAPLACIAN-LIKE OPERATORS; SYSTEMS;

机译：平均曲率算子;Leray-Schauder阶;同态不变性;类似Lapalacian算子;系统;

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专利

1. Periodic solutions for nonlinear equations with mean curvature-like operators [J] . Benevieri P, do O JM, de Medeiros ES Applied mathematics letters . 2007,第5期

机译：具有均值曲率算子的非线性方程的周期解
2. Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators [J] . Hui-Sheng Ding, Guo-Rong Ye, Wei Long Advances in Difference Equations . 2010,第1期

机译：具有-Laplacian-Like算子的一类非线性方程周期解的存在性和唯一性
3. Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators [J] . Hui-Sheng Ding, Guo-Rong Ye, Wei Long Advances in Difference Equations . 2010,第1期

机译：具有-Laplacian-Like算子的一类非线性方程周期解的存在性和唯一性
4. On Periodic Solutions of Singularly Perturbed Integro-differential Volterra Equations with Periodic Nonlinearities [C] . Vera B. Smirnova, Natalia V. Utina, Anton V. Proskurnikov IFAC Workshop on Periodic Control Systems . 2016

机译：定期扰动积分差分Volterra方程与周期性非线性的周期解
5. PERIODIC SOLUTIONS OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS (THE VAN-DER-POL EQUATION). [D] . ECKWEILER, HOWARD JESSE. 1943

机译：一类非线性微分方程的周期解（范德波尔方程）。
6. EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION [O] . Felix E. Browder 1965

机译：非线性演化方程周期解的存在性
7. Periodic solutions for nonlinear equations with mean curvature-like operators [O] . Benevieri Pierluigi, do Ó João Marcos, de Medeiros Everaldo Souto 2007

机译：具有均等曲率算子的非线性方程的周期解
8. Final Report Periodic Solutions of Nonlinear Differential Equations and Solutions of Functional Equations by Topological Methods [R] . Jane Cronin Scanlon 1965

机译：非线性微分方程的最终报告周期解及拓扑方法的泛函方程解

Periodic solutions for nonlinear equations with mean curvature-like operators

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