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Predictive modeling of hepatitis B viral dynamics: a caputo derivative-based approach using artificial neural networks. [PDF]

Sci Rep
Turab A, Shafqat R, Muhammad S, Shuaib M, Khan MF, Kamal M.   +5 more
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Mathematical analysis of scrub typhus seasonal infection with re-scaled transmission rate considering Northeast India reported data from 2010 to 2022. [PDF]

Sci Rep
Dhar B, Sajid M.
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On the Hyers–Ulam Stability of Bernoulli’s Differential Equation

Russian Mathematics
The aim of this paper is to present the results on the Hyers–Ulam–Rassias stability and the Hyers–Ulam stability for Bernoulli's differential equation. The argument makes use of a fixed point approach. Some examples are given to illustrate the main results.
Shah, R., Irshad, N.
exaly   +2 more sources

Generalized Dichotomies and Hyers–Ulam Stability

Results in Mathematics, 2023
Consider \[ x^\prime=A(t)x+f(t,x),\,t\geq 0,\tag{1} \] where \(A:\mathbb{R}_+\to \mathbb{R}^{n\times n}\) and \(f:\mathbb{R}_+\times \mathbb{R}^n\to \mathbb{R}^n\) are continuous mappings. It is known that if the corresponding linear differential equation \(x^\prime=A(t)x\) has a uniform exponential dichotomy and \(f(t,x)\) is Lipschitz in \(x ...
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The Hyers–Ulam–Rassias stability of the pexiderized equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Dal-Won, Lee, Yang-Hi
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Hyers–Ulam stability of hypergeometric differential equations

Aequationes mathematicae, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdollahpour, Mohammad Reza, Rassias, Michael Th.   +1 more
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Hyers–Ulam Stability of Euler’s Differential Equation

Results in Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Popa, Dorian, Pugna, Georgiana
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Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay

2011
Abstract. In this paper we are going to study the Hyers–Ulam–Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon finite intervals. 1. IntroductionVolterra integral equations have been extensively studied since its appearance in1896.
Morales, J. R., Rojas, E. M.
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On Hyers-Ulam Stability of Monomial Functional Equations

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998
The paper concerns the stability, in the sense of Hyers--Ulam, of the monomial functional equation \[ \Delta^n_y f(x)-n!f(y)=0, \] where \(x,y \in \mathbb{R}\), and \(f\) takes values in a Banach space \(B\). The stability of this equation has been already studied by \textit{L. Székelyhidi}, [C. R. Math. Acad. Sci., Soc. R. Can.
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HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS

Rocky Mountain Journal of Mathematics
The authors study semilinear equations \begin{align*} x'&=A(t)x+f(t,x),\\ x_{n+1}&=A_nx_n+f_n(x_n) \end{align*} on the nonnegative half-line in a Banach space \(X\). Provided the linear part is uniformly exponentially stable, Hyers-Ulam-Rassias stability is established, if the (uniform) Lipschitz constant of the nonlinearity is small.
Dragičević, Davor, Jurčević Peček, Nevena   +1 more
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