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Anita Kirichuka



Authors and WSEAS

Anita Kirichuka


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 18, 2019


The Number of Solutions to the Boundary Value Problem for the Second Order Differential Equation with Cubic Nonlinearity

AUTHORS: Anita Kirichuka

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The differential equation with cubic nonlinearity x 00 = −ax + bx3 is considered together with the Sturm - Liouville type boundary conditions. The number of solutions for the Sturm - Liouville boundary value p roblem is given. The equation for the initial values of solutions to boundary value problem is derived using representation by Jacobian elliptic functions. An explanatory example is given with a number of visualizations.

KEYWORDS: Boundary value problem, cubic nonlinearity, phase trajectory, multiplicity of solutions, Jacobian elliptic function.

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[10] A. Kirichuka, The number of solutions to the dirichlet and mixed problem for the second order differential equation with cubic nonlinearity, Proceedings of IMCS of University of Latvia, Vol. 18:63–72, 2018.

[11] A. Kirichuka, The number of solutions to the neumann problem for the second order differential equation with cubic nonlinearity, Proceedings of IMCS of University of Latvia, Vol. 17:44– 51, 2017.

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WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #31, pp. 230-236


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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