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The variable
exponent Bernoulli differential equation
Karen R. Ríos-Soto, Carlos E. Seda-Damiani and Alejandro Vélez-Santiago
Vol. 12 (2019), No. 8, 1279–1291
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Abstract |
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We investigate the realization of a Bernoulli-type first-order differential equation with a variable exponent. Using substitution methods, we show the existence of an implicit solution to the Bernoulli problem. Numerical simulations applied to several examples are also provided. |
Keywords
variable exponent differential equations, Bernoulli
differential equation, implicit solutions, numerical
simulations
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Mathematical Subject Classification 2010
Primary: 34A34, 34A09, 34B15, 65L06
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Milestones
Received: 6 June 2018
Revised: 18 June 2019
Accepted: 31 August 2019
Published: 25 October 2019
Communicated by Toka Diagana
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Authors |
| Karen R. Ríos-Soto | |
| Department of Mathematical
Sciences University of Puerto Rico at Mayagüez Mayagüez Puerto Rico |
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| Carlos E. Seda-Damiani | |
| Department of Mathematical
Sciences University of Puerto Rico at Mayagüez Mayagüez Puerto Rico |
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| Alejandro Vélez-Santiago | |
| Department of Mathematical
Sciences University of Puerto Rico at Mayagüez Mayagüez Puerto Rico |
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