Results 1 to 10 of about 145 (57)
Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
Scientific African, 2022 In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan +5 more
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Extensions of Gronwall-Bellman type integral inequalities with two independent variables
Open Mathematics, 2022 In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form.
Xie Yihuai, Li Yueyang, Liu Zhenhai
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Criteria of Existence for a q Fractional p-Laplacian Boundary Value Problem
Frontiers in Applied Mathematics and Statistics, 2020 This paper is devoted to establishing some criteria for the existence of non-trivial solutions for a class of fractional q-difference equations involving the p-Laplace operator, which is nowadays known as Lyapunov's inequality. The method employed for it
Lakhdar Ragoub +2 more
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Open Mathematics, 2020 In Applied Mathematics Letters 74 (2017), 147–153, the Hyers-Ulam stability of the one-dimensional time-independent Schrödinger equation was investigated when the relevant system has a potential well of finite depth. As a continuous work,
Jung Soon-Mo, Choi Ginkyu
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
semanticscholar +1 more source
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 21-31, 1996., 1995 This paper investigates the oscillatory properties of solutions of nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments subject to two different boundary conditions. Several oscillation criteria are establishing employing Green′s Theorem and certain differential inequalities. An example is also given.
Xinzhi Liu, Xilin Fu
wiley +1 more source
Differential inequalities for hysteresis systems
International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 459-468, 1996., 1996 The theory of differential inequalities is extended to functional‐differential equations with hysteresis nonlinearities. A key feature is the existence of a semiorder of the state space of nonlinearity and a special monotonicity of the righthand side of differential inequality. This article is dedicated to the memory of Roland L. Dobrushin.
Vladimir V. Chernorutskii +1 more
wiley +1 more source
Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
, 2015 Lyapunov-type inequalities are established for a fractional differential equation under mixed boundary conditions. Using such inequalities, we obtain intervals where certain MittagLeffler functions have no real zeros.
M. Jleli, B. Samet
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Further generalization of generalized quasilinearization method
International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 545-552, 1994., 1994 The question whether it is possible to develop monotone sequences that converge to the solution quadratically when the function involved in the initial value problem admits a decomposition into a sum of two functions, is answered positively. This extends the method of generalized quasilinearization to a large class.
V. Lakshmikantham, N. Shahzad
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Nonlinear elastic beam problems with the parameter near resonance
Open Mathematics, 2018 In this paper, we consider the nonlinear fourth order boundary value problem of the ...
Xu Man, Ma Ruyun
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