Open Access
2019 The variable exponent Bernoulli differential equation
Karen R. Ríos-Soto, Carlos E. Seda-Damiani, Alejandro Vélez-Santiago
Involve 12(8): 1279-1291 (2019). DOI: 10.2140/involve.2019.12.1279

Abstract

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.

Citation

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Karen R. Ríos-Soto. Carlos E. Seda-Damiani. Alejandro Vélez-Santiago. "The variable exponent Bernoulli differential equation." Involve 12 (8) 1279 - 1291, 2019. https://doi.org/10.2140/involve.2019.12.1279

Information

Received: 6 June 2018; Revised: 18 June 2019; Accepted: 31 August 2019; Published: 2019
First available in Project Euclid: 12 December 2019

zbMATH: 07162465
MathSciNet: MR4041264
Digital Object Identifier: 10.2140/involve.2019.12.1279

Subjects:
Primary: 34A09 , 34A34 , 34B15 , 65L06

Keywords: Bernoulli differential equation , implicit solutions , numerical simulations , variable exponent differential equations

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.12 • No. 8 • 2019
MSP
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