Results 61 to 70 of about 14,394 (244)

Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

Mathematics, 2021
In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
doaj   +1 more source

The Fermi-Pasta-Ulam problem: 50 years of progress

, 2005
A brief review of the Fermi-Pasta-Ulam (FPU) paradox is given, together with its suggested resolutions and its relation to other physical problems. We focus on the ideas and concepts that have become the core of modern nonlinear mechanics, in their ...
Arnold V. I., Arnold V. I., Arnold V. I., Benettin G., Berezin Yu. A., Berezin Yu. A., Berman G. P., Berman G. P., Berman G. P., Chirikov B. V., Dodd R. K., Fermi E., Izrailev F. M., Izrailev F. M., Izrailev F. M., Kolmogorov A. N., Kryloff N., Krylov N. S., Moser J., Nishida T., Pitaevskii L. P., Prigogine I., Sagdeev R. Z., Ulam S. M., Zabusky N. J.   +24 more
core   +1 more source

Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative

Engineering Reports, Volume 8, Issue 3, March 2026.
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah, Isaac K. Adu, Fredrick A. Wireko, Adu Sakyi   +3 more
wiley   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

Fixed Point Theory and the Ulam Stability [PDF]

Journal of Function Spaces, 2014
The fixed point method has been applied for the first time, in proving the stability results for functional equations, by Baker (1991); he used a variant of Banach's fixed point theorem to obtain the stability of a functional equation in a single variable. However, most authors follow the approaches involving a theorem of Diaz and Margolis.
Janusz Brzdęk, Liviu Cădariu, Krzysztof Ciepliński   +2 more
openaire   +3 more sources

Generalized Hyers–Ulam stability of ρ-functional inequalities

Journal of Inequalities and Applications, 2023
AbstractIn our research work generalized Hyers-Ulam stability of the following functional inequalities is analyzed by using fixed point approach: $$\begin{aligned}& \biggl\Vert f(2x+y)+f(2x-y)-2f(x+y)-2f(x-y)-12f(x) \\& \quad {}-\rho \biggl(4f\biggl(x+\frac{y}{2}\biggr)+4\biggl(f\biggl(x- \frac{y}{2}\biggr)-f(x+y)-f(x-y)\biggr)-6f(x),r\biggr) \
Nawaz, Sundas, Bariq, Abdul, Batool, Afshan, Akgul, Ali   +3 more
openaire   +3 more sources

Friction Shock Absorbers and Reverse Thrust for Fast Multirotor Landing on High‐Speed Vehicles

Journal of Field Robotics, Volume 43, Issue 2, Page 1068-1090, March 2026.
ABSTRACT Typical landing gears of small uninhabited aerial vehicles (UAV) limit their capability to land on vehicles moving at more than 20–50 km/h due to high drag forces, high pitch angles and potentially high relative horizontal velocities. To enable landing at higher speeds, a combination of lightweight friction shock absorbers and reverse thrust ...
Isaac Tunney, John Bass, Alexis Lussier Desbiens   +2 more
wiley   +1 more source

On stability for nonlinear implicit fractional differential equations

Le Matematiche, 2015
The purpose of this paper is to establish some  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj  

Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential

Axioms, 2022
The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
doaj   +1 more source

Stability analysis of dynamical regimes in nonlinear systems with discrete symmetries

, 2005
We present a theorem that allows to simplify linear stability analysis of periodic and quasiperiodic nonlinear regimes in N-particle mechanical systems (both conservative and dissipative) with different kinds of discrete symmetry. This theorem suggests a
G. M. Chechin, G. M. Chechin, J. P. Elliott, K. G. Zhukov, L. D. Landau, N. Budinsky, R. M. Rosenberg, S. Shinohara, V. P. Sakhnenko, V. P. Sakhnenko, V. P. Sakhnenko, V. P. Sakhnenko   +11 more
core   +1 more source