Results 81 to 90 of about 2,398,627 (204)

Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations

Mathematics, 2022
In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian, Sorina Anamaria Ciplea, Nicolaie Lungu   +2 more
doaj   +1 more source

Stability and Superstability of a Linear Functional Equation on Restricted Domains

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the Hyers–Ulam stability and superstability of the functional equation f(x2 + yf(z)) = xf(x) + zf(y) for real‐valued functions f : R⟶R on some restricted subsets of R.
Abbas Najati, Mohammad Amin Tareeghee, Themistocles M. Rassias, Arnab Biswas   +3 more
wiley   +1 more source

Nonlinear analysis for Hilfer fractional differential equations

Franklin Open
In this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj   +1 more source

On Hyers-Ulam-Rassias stability of a quadratic functional equation [PDF]

Mathematical Inequalities & Applications, 2003
The authors investigate the stability of the `quadratic' functional equation \[ \begin{multlined} f(x+y+z+w)+ 2f(x)+2f(y) +2f(z)+2f(w)\\ =f(x+y)+ f(y+z)+f(z+x) +f(x+w)+ f(y+w)+f(z+w).\end{multlined} \] {}.
Chang, Ick-Soon, Lee, Eun Hwi, Kim, Hark-Mahn   +2 more
openaire   +1 more source

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations

, 2019
This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli's, Riccati and Abel with given initial ...
Mısır, Adil, Ogrekci, S., Misir, A., Başcı, Yasemin, Suleyman ÖGREKCI, Öğrekçi, Süleyman, Yasemin BASCI, Basci, Y., Adil MISIR   +8 more
core   +1 more source

Hyers-Ulam-Rassias stability of Jensen’s equation and its application [PDF]

Proceedings of the American Mathematical Society, 1998
The Hyers-Ulam-Rassias stability for the Jensen functional equation is investigated, and the result is applied to the study of an asymptotic behavior of the additive mappings; more precisely, the following asymptotic property shall be proved: Let
openaire   +2 more sources

Representation of Multilinear Mappings and s‐Functional Inequality

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations [PDF]

, 2017
We study different kinds of stabilities for a class of very general nonlinear integro-differential equations involving a function which depends on the solutions of the integro-differential equations and on an integral of Volterra type.
L.P. Castro, Castro, L. P., Simões, A. M., A.M. Simões   +3 more
core   +1 more source

Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach

Fixed Point Theory and Applications, 2008
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
doaj   +1 more source