Some stabilities of system of differential equations using Laplace transform

DOI10.1007/s12190-023-01872-wzbMath1530.34016MaRDI QIDQ6046876

Yamin Sayyari, Chun-Gil Park, Mehdi Dehghanian

Publication date: 6 October 2023

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

Laplace transformHyers-Ulam stabilitydifferential equationMittag-Leffler-Hyers-Ulam stability

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Mittag-Leffler functions and generalizations (33E12) Linear ordinary differential equations and systems (34A30) Laplace transform (44A10)

Related Items (2)

The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Hyers-Ulam stability of Euler's differential equation
• Existence and stability of Stieltjes quadratic functional integral equations
• Stability of linear differential equations of third order
• Hyers-Ulam stability of linear differential equations of second order
• On some inequalities and stability results related to the exponential function
• On the Hyers-Ulam stability of real continuous function valued differentiable map
• Existence and stability for Hadamard \(p\)-type fractional functional differential equations
• Hyers-Ulam stability of linear differential equations of first order.
• Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
• Mittag-Leffler-Hyers-Ulam stability of delay fractional differential equation via fractional Fourier transform
• Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel
• Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
• Hyers-Ulam stability of the linear differential operator with nonconstant coefficients
• Hyers-Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize
• Hyers-Ulam stability of linear differential equations of first order. II
• Hyers-Ulam stability of linear differential equations of first order. III
• A system of additive functional equations in complex Banach algebras
• ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
• HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy

This page was built for publication: Some stabilities of system of differential equations using Laplace transform