Results 11 to 20 of about 588 (178)

Finite-time stability of multiterm fractional nonlinear systems with multistate time delay

Advances in Difference Equations, 2021
This work is mainly concentrated on finite-time stability of multiterm fractional system for 0 < α 2 ≤ 1 < α 1 ≤ 2 $0 < \alpha _{2} \leq 1 < \alpha _{1} \leq 2$ with multistate time delay.
G. Arthi, N. Brindha, Yong-Ki Ma
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KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT

Barekeng, 2011
Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of ...
Monalisa E. Rijoly, Henry J. Wattimanela, Rudy W. Matakupan   +2 more
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On a Stieltjes version of Gronwall’s inequality [PDF]

Proceedings of the American Mathematical Society, 1981
A unified formulation of Gronwall’s inequality ( GI )
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A more generalized Gronwall-like integral inequality with applications

International Journal of Mathematics and Mathematical Sciences, 2003
This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
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A Linear Generalization of Gronwall's Inequality [PDF]

Proceedings of the American Mathematical Society, 1965
where k(t, s) and w0(t) are known non-negative functions and u(t) is an unknown non-negative function. For examples, one can refer to Bellman [l, pp. 35 ff.], Coddington and Levinson [2, pp. 37 ff.], Willett [3], and others. In order to obtain from (1.1) a genuine upper bound for u(t), i.e., an upper bound independent of u, it seems necessary to ...
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Ulam stability and data dependence for fractional differential equations with Caputo derivative

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case ...
JinRong Wang, Linli Lv, Yong Zhou
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On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations

Journal of Function Spaces, 2016
This paper proves the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of nonlinear first-order ordinary differential equation with single constant delay and finite impulses on a compact interval.
Akbar Zada, Shah Faisal, Yongjin Li
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On approximation of the solutions of delay differential equations by using piecewise constant arguments

International Journal of Mathematics and Mathematical Sciences, 1991
By using the Gronwall Bellman inequality we prove some limit relations between the solutions of delay differential equations with continuous arguments and the solutions of some related delay differential equations with piecewise constant arguments(EPCA).
Istevan Györi
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A discrete fractional Gronwall inequality [PDF]

Proceedings of the American Mathematical Society, 2012
In this work we derive a Gronwall type inequality within the discrete fractional setting. Our results constitute generalizations on the inequalities of discrete calculus.
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Lebesgue-p Norm Convergence Analysis of PDα-Type Iterative Learning Control for Fractional-Order Nonlinear Systems

Discrete Dynamics in Nature and Society, 2018
The first-order and second-order PDα-type iterative learning control (ILC) schemes are considered for a class of Caputo-type fractional-order nonlinear systems.
Lei Li
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