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Hyers-Ulam-Rassias
Instability for
Bernoulli's and
Nonlinear
Differential
Equations
Khaled M. Hyasat (1) and Maher Nazmi Qarawani
(2)
(1)
(Corresponding
author)
Department of
Basic Sciences
And Mathematics,
Philadelphia
University,
Jordan
Email address:
k_hyasat@philadelphia.edu.jo
(2) Department of
Mathematics, Al-Quds
Open University,
Salfit, Palestine
Email address:
mkerawani@qou.edu
Doi :
https://doi.org/10.47013/15.4.5
Cited by :
Jordan J. Math &
Stat.,
15 (4A) (2022),
857 - 870
PDF
Received on:
April 28,
2021;
Accepted
on: Dec. 16,
2021
Abstract. In this
paper we have
obtained
integral
sufficient
conditions under
which the zero
solution of
nonlinear
differential
equations of
first order with
zero initial
condition is
unstable in
Hyers-Ulam-Rassias
sense. We also
have proved the
Hyers-Ulam-Rassias
instability of
Bernoulli’s
differential
equation with
zero initial
condition. To
illustrate the
results we have
given three
examples.
Keywords: Hyers -Ulam-Rassias
, Instability,
Nonlinear,
Differential
equations.
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