Research Article

ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION

Volume: 38 Number: 4 October 5, 2021
  • Juan E. Nápoles Valdés
  • María Nubia Quevedo Cubıllos
  • Adrian R. Gómez Plata
EN

ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION

Abstract

In this article we present a second-order differential equation in the framework of the derivative N, and various qualitative properties of the solutions are studied, firstly conditions are obtained under which the equation under study has a non-continuity solution at infinity. Later we study the conditions for the prolongation of the solutions and their oscillation.

Keywords

References

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  3. [3] D. Baleanu, and A. Fernandez, On Fractional Operators and Their Classifications, Mathematics 2019, 7, 830; doi:10.3390/math7090830
  4. [4] Miroslav Bartuˇsek; Mariella Cecchi; Zuzana Doˇsl´a; Mauro Marin, Global monotonicity and oscillation for second order differential equation, Czechoslovak Mathematical Journal, Vol. 55 (2005), No. 1, 209–222.
  5. [5] I. Cınar, On Some Properties of Generalized Riesz Potentials, Intern. Math. Journal, Vol. 3,2003, no. 12, 1393-1397
  6. [6] E. A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955.
  7. [7] O. Dosly, N. Yamaoka, Oscillation constants for second-order ordinary differential equations related to elliptic equations with p-Laplacian, Nonlinear Analysis 113 (2015) 115-136.
  8. [8] R. Emden, Gaskugeln, Anwendungen der mechanischen Warmentheorie auf Kosmologie und metheorologische Probleme, Leipzig, 1907.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Juan E. Nápoles Valdés This is me
0000-0003-2470-1090
Argentina

María Nubia Quevedo Cubıllos This is me
0000-0002-4137-7408
Colombia

Adrian R. Gómez Plata This is me
0000-0001-8047-5388
Colombia

Publication Date

October 5, 2021

Submission Date

June 18, 2020

Acceptance Date

November 16, 2020

Published in Issue

Year 2020 Volume: 38 Number: 4

APA
Nápoles Valdés, J. E., Quevedo Cubıllos, M. N., & Gómez Plata, A. R. (2021). ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION. Sigma Journal of Engineering and Natural Sciences, 38(4), 2109-2121. https://izlik.org/JA75XR62EB
AMA
1.Nápoles Valdés JE, Quevedo Cubıllos MN, Gómez Plata AR. ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION. SIGMA. 2021;38(4):2109-2121. https://izlik.org/JA75XR62EB
Chicago
Nápoles Valdés, Juan E., María Nubia Quevedo Cubıllos, and Adrian R. Gómez Plata. 2021. “ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION”. Sigma Journal of Engineering and Natural Sciences 38 (4): 2109-21. https://izlik.org/JA75XR62EB.
EndNote
Nápoles Valdés JE, Quevedo Cubıllos MN, Gómez Plata AR (October 1, 2021) ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION. Sigma Journal of Engineering and Natural Sciences 38 4 2109–2121.
IEEE
[1]J. E. Nápoles Valdés, M. N. Quevedo Cubıllos, and A. R. Gómez Plata, “ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION”, SIGMA, vol. 38, no. 4, pp. 2109–2121, Oct. 2021, [Online]. Available: https://izlik.org/JA75XR62EB
ISNAD
Nápoles Valdés, Juan E. - Quevedo Cubıllos, María Nubia - Gómez Plata, Adrian R. “ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION”. Sigma Journal of Engineering and Natural Sciences 38/4 (October 1, 2021): 2109-2121. https://izlik.org/JA75XR62EB.
JAMA
1.Nápoles Valdés JE, Quevedo Cubıllos MN, Gómez Plata AR. ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION. SIGMA. 2021;38:2109–2121.
MLA
Nápoles Valdés, Juan E., et al. “ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION”. Sigma Journal of Engineering and Natural Sciences, vol. 38, no. 4, Oct. 2021, pp. 2109-21, https://izlik.org/JA75XR62EB.
Vancouver
1.Juan E. Nápoles Valdés, María Nubia Quevedo Cubıllos, Adrian R. Gómez Plata. ON THE ASYMPTOTIC BEHAVIOR OF A GENERALIZED NONLINEAR EQUATION. SIGMA [Internet]. 2021 Oct. 1;38(4):2109-21. Available from: https://izlik.org/JA75XR62EB

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