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Applicable Analysis
An International Journal
Volume 17, 1984 - Issue 2
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Original Articles

Existence of periodic solutions of nonlinear boundary value problems and the method of upper and lower solutions

R. Kannan Department of Mathematics, The University of Texas at Arlington, Arlington, Texas, 76019
&
V. Akshmikantham Department of Mathematics, The University of Texas at Arlington, Arlington, Texas, 76019
Pages 103-113 | Published online: 02 May 2007

Citations (11)

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Read on this site (2)

Juan J. Nieto. (1989) Nonlinear second order periodic value problems with caratheodory functions. Applicable Analysis 34:1-2, pages 111-128.
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V. Sree Hari Rao & A.S. Vatsala. (1983) Existence of solutions for a system of second order nonlinear periodic boundary value problems. Applicable Analysis 17:1, pages 23-36.
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Articles from other publishers (9)

Xue Yang. (2009) Existence of solutions for some nonlinear problems with p-Laplacian like operators. Nonlinear Analysis: Theory, Methods & Applications 70:6, pages 2447-2452.
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F.M. Atici & A. Cabada. (2003) Existence and uniqueness results for discrete second-order periodic boundary value problems. Computers & Mathematics with Applications 45:6-9, pages 1417-1427.
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Róbert Vrábel. (1995) Semilinear singular perturbation. Nonlinear Analysis: Theory, Methods & Applications 25:1, pages 17-26.
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Li Yong, Lu Xiguan & Su Yi. (1995) A homotopy method of finding periodic solutions for ordinary differential equations from the upper and lower solutions. Nonlinear Analysis: Theory, Methods & Applications 24:7, pages 1027-1038.
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J. J. Nieto. (1992) Positive solutions of nonlinear problems at resonance. Acta Mathematica Hungarica 59:3-4, pages 339-344.
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J. J. Nieto & V. S. H. Rao. (1991) Periodic solutions for scalar lienard equations. Acta Mathematica Hungarica 57:1-2, pages 15-27.
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Juan J Nieto. (1988) Nonlinear second-order periodic boundary value problems. Journal of Mathematical Analysis and Applications 130:1, pages 22-29.
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Mohammad Khavanin & V Lakshmikantham. (1986) The method of mixed monotony and second order boundary value problems. Journal of Mathematical Analysis and Applications 120:2, pages 737-744.
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Klaus Deimling & V. Lakshmikantham. (1986) Periodic sample solutions of second order ode's. Nonlinear Analysis: Theory, Methods & Applications 10:4, pages 403-409.
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