Results 41 to 50 of about 12,578 (196)

Stability of Partial Differential Equations by Mahgoub Transform Method

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
doaj   +1 more source

Ulam-Hyers Stability for Operatorial Equations

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011
Let \((X,d)\) be a metric space, \(\mathcal P(X):=\{Y\subset X\}\), \(P(X):=\{Y\in\mathcal P(X):Y\neq\emptyset\}\), \(D_d:P(X)\times P(X)\to\mathbb R_+\) the gap functional, given by \[ D_d(A,B)=\inf\left\{d(a,b):a\in A,\,b\in B\right\}, \] and let \(F:X\to P(X)\) be a multivalued operator.
Bota-Boriceanu, M. F., Petruşel, A.
openaire   +2 more sources

Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

Mathematics
In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah, Rabiaa Aouafi, Said Kouachi   +2 more
doaj   +1 more source

On the Orthogonal Stability of the Pexiderized Quadratic Equation

, 2005
The Hyers--Ulam stability of the conditional quadratic functional equation of Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is a symmetric orthogonality in the sense of Ratz and f is odd.Comment: 10 pages, Latex; Changed ...
Aczél J., Aczél J., Czerwik S., Czerwik S., Drljević F., Ger R., Hyers D.H., Jun K.W., Jung S.M., Mohammad Sal Moslehian, Moslehian M.S., Rassias Th.M., Vajzović F.   +12 more
core   +2 more sources

Ulam stability for second-order linear differential equations with three variable coefficients

Results in Applied Mathematics, 2022
This study deals with Ulam stability of second-order linear differential equations of the form e(x)y′′+f(x)y′+g(x)y=0. The method established by Cădariu et al. (2020) is extended.
Masakazu Onitsuka
doaj   +1 more source

Stability analysis for first-order nonlinear differential equations with three-point boundary conditions [PDF]

E-Journal of Analysis and Applied Mathematics, 2020
In the present paper, we study a system of nonlinear differential equations with three-point boundary conditions. The given original problem is reduced to the equivalent integral equations using Green function.
Kamala E. Ismayilova
doaj   +1 more source

Hyers–Ulam stability with respect to gauges

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz, Popa, Dorian, Raşa, Ioan   +2 more
openaire   +1 more source

On Ulam Stability with Respect to 2-Norm

Symmetry, 2023
The Ulam stability of various equations (e.g., differential, difference, integral, and functional) concerns the following issue: how much does an approximate solution of an equation differ from its exact solutions? This paper presents methods that allow to easily obtain numerous general Ulam stability results with respect to the 2-norms.
openaire   +1 more source

Stability of Nonlinear Normal Modes in the FPU-$\beta$ Chain in the Thermodynamic Limit

, 2011
All possible symmetry-determined nonlinear normal modes (also called by simple periodic orbits, one-mode solutions etc.) in both hard and soft Fermi-Pasta-Ulam-$\beta$ chains are discussed.
D. S. Ryabov, G. M. Chechin, G. M. Chechin, G. P. Berman, G. P. Berman, K. G. Zhukov, M. A. Lyapunov, V. P. Sakhnenko, V. P. Sakhnenko, V. P. Sakhnenko, V. P. Sakhnenko   +10 more
core   +1 more source

Hyers-Ulam stability of Flett's points

Applied Mathematics Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Das, Thomas Riedel, Prasanna K. Sahoo
openaire   +1 more source