Aboodh transform and the stability of second order linear differential equations
From MaRDI portal
Publication:2167033
DOI10.1186/s13662-021-03451-4zbMath1494.34128OpenAlexW3168511472WikidataQ115241212 ScholiaQ115241212MaRDI QIDQ2167033
Ramdoss Murali, Arumugam Ponmana Selvan, Jung Rye Lee, Chun-Gil Park
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03451-4
Hyers-Ulam-Rassias stabilitylinear differential equationAboodh transformMittag-Leffler-Hyers-Ulam-Rassias stability
Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30)
Related Items
Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform ⋮ On approximate solutions of a class of Clairaut's equations ⋮ Ulam type stabilities of \(n\)-th order linear differential equations using Gronwall's inequality ⋮ Ulam stability for third-order linear differential equations with variable coefficients ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
- Approximate solutions of a linear differential equation of third order
- Hyers-Ulam stability of linear differential equations of first order
- On approximation of approximately linear mappings by linear mappings
- On stability of additive mappings
- On some inequalities and stability results related to the exponential function
- Value distribution of \(q\)-difference differential polynomials of entire functions
- Hyers-Ulam stability of linear differential equations of first order.
- Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces
- Ulam stability of linear differential equations using Fourier transform
- On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
- On the stability of the linear functional equation in a single variable on complete metric groups
- Hyers-Ulam stability of linear differential equations of first order. II
- Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients
- Hyers-Ulam stability of linear differential equations of first order. III
- Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient
- On the stability of the linear transformation in Banach spaces
- Hyers--Ulam stability of nth order linear differential equations
- ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
- On the Stability of the Linear Mapping in Banach Spaces
- Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
- New results on IBVP for Class of Nonlinear Parabolic Equations
- Fourier Transforms and Ulam Stabilities of Linear Differential Equations
- Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations
