Results 71 to 80 of about 7,667 (234)

On a lack of stability of parametrized BV solutions to rate‐independent systems with nonconvex energies and discontinuous loads

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 7, July 2024.
Abstract We consider a rate‐independent system with nonconvex energy under discontinuous external loading. The underlying space is finite‐dimensional and the loads are functions in BV([0,T];Rd)$BV([0,T];\mathbb {R}^d)$. We investigate the stability of various solution concepts w.r.t.
Merlin Andreia, Christian Meyer
wiley   +1 more source

Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition

Electronic Research Archive
In this paper, we study the solvability of positive solutions for a Caputo-type fractional-order Riemann-Stieltjes integral boundary value problem. Under some monotonicity conditions for the nonlinearity, we use the upper-lower solution method to obtain ...
Haixia Li, Xin Liu
doaj   +1 more source

Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition

Abstract and Applied Analysis, 2012
We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle,
Ge-Feng Yang
doaj   +1 more source

Asymptotic behavior of third order functional dynamic equations with $\gamma$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we study the third-order functional dynamic equations with $ \gamma$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals \begin{equation*} \left\{ r_{2}\left( t\right) \phi _{\gamma _{2}}\left( \left[ r_{1}\left( t\right ...
Taher Hassan, Qingkai Kong
doaj   +1 more source

Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method

Mathematical Methods in the Applied Sciences, Volume 47, Issue 5, Page 3582-3595, 30 March 2024.
We propose an Adomian decomposition method to solve a class of nonlinear differential equations of fractional‐order with modified Caputo derivatives and integral boundary conditions. Our approach uses the integral boundary conditions to derive an equivalent nonlinear Volterra integral equation before establishing existence and uniqueness of solution ...
Om Kalthoum Wanassi, Rim Bourguiba, Delfim F. M. Torres   +2 more
wiley   +1 more source

HERONIAN MEAN DERIVATIVE-BASED SIMPSON’S-TYPE SCHEME FOR RIEMANN-STIELTJES INTEGRAL [PDF]

, 2021
Kashif Memon
openalex   +1 more source

Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

Mathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.
Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
wiley   +1 more source

Positive solutions of nonlocal fractional boundary value problem\n involving Riemann-Stieltjes integral condition [PDF]

, 2020
Faouzi Haddouchi
openalex   +2 more sources

The Exact Iterative Solution of Fractional Differential Equation with Nonlocal Boundary Value Conditions

Journal of Function Spaces, 2018
We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the
Jinxiu Mao, Zengqin Zhao, Chenguang Wang
doaj   +1 more source

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age‐structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Victor Kovtunenko
wiley   +1 more source