Bounded index, entire solutions of ordinary differential equations and summability methods
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 417-434, 1981., 1981 A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
G. H. Fricke, Ranjan Roy, S. M. Shah
wiley +1 more source
On nonlocal problems for fractional differential equations in Banach spaces [PDF]
, 2011 In this paper, we study the existence and uniqueness of solutions to the nonlocal problems for the fractional differential equation in Banach spaces.
JinRong Wang, XiWang Dong, Yong Zhou
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Halanay type inequalities on time scales with applications
, 2011 This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
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, 2015 We are interested in the upper bound of the lifespan of solutions of semilinear wave equations from above. For the sub-critical case in high dimensions, it has been believed that the basic tools of its analysis are Kato's lemma on ordinary differential ...
Takamura, Hiroyuki
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On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative [PDF]
, 2020 In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of beta is an element of (1, 2] and Dirichlet-type ...
Toprakseven, Şuayip
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Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions [PDF]
, 2012 This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results.
Ahmad Alsaedi +3 more
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Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
doaj +1 more source
A class of stochastic differential equations with super-linear growth and non-Lipschitz coefficients
, 2015 The purpose of this paper is to study some properties of solutions to one dimensional as well as multidimensional stochastic differential equations (SDEs in short) with super-linear growth conditions on the coefficients.
Bahlali, Khaled +2 more
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Oscillation Properties of Some Functional Fourth Order Ordinary Differential Equations [PDF]
, 2012 2010 Mathematics Subject Classification: 34A30, 34A40, 34C10.In this paper are considered oscillation properties of some classes of functional ordinary differential equations, namely equations of the type ziv(t) + mz′′(t) + g(z(t), z′(t), z′′(t), z′′′(t))
Petrova, Zornitza
core
An existence result for fractional differential inclusions with nonlinear integral boundary conditions [PDF]
, 2013 This paper studies the existence of solutions for a fractional differential inclusion of order q ∈ ( 2 , 3 ]
Ahmed Alsaedi +2 more
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