Results 11 to 20 of about 40,024 (68)
Some improvements of Minkowski’s integral inequality on time scales
Journal of Inequalities and Applications, 2013 In the paper, we establish some improvements of Minkowski’s inequality on time scales via the delta integral, nabla integral and diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.MSC:26D15, 26E70.
Guangsheng Chen
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Journal of Inequalities and Applications, 2012 In this article, we establish some new Ostrowski type integral inequalities on time scales involving functions of two independent variables for k2 points, which on one hand unify continuous and discrete analysis, on the other hand extend some known ...
Qinghua Feng, F. Meng
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Existence results for systems of first-order nabla dynamic inclusions on time scales
Arab Journal of Mathematical Sciences, 2019 In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem.
Bouharket Bendouma, Ahmed Hammoudi
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Journal of Inequalities and Applications, 2012 In this paper, some new Gronwall-Bellman-type nonlinear dynamic inequalities containing integration on infinite intervals on time scales are established, which provides new bounds on unknown functions and can be used as a handy tool in the qualitative ...
B. Zheng +3 more
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Many Types of Stability of Abstract First and Second Order Linear Dynamic Equations on Time Scales
Journal of Scientific Research in Science, 2018 In this paper we investigate sufficient conditions for many types of stability of both of the abstract first order linear dynamic equations on time scales of the form and the second order linear dynamic equations of the form Where , the space of ...
A. Hamza, G. A. Ismail, Dina Ahmed
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Oscillation Behavior of Second Order Nonlinear Dynamic Equation with Damping on Time Scales
Open Journal of Mathematical Analysis, 2018 In this paper, we use Riccati transformation technique to establish some new oscillation criteria for the second order nonlinear dynamic equation with damping on time scales (r(t)(x(t))) − p(t)(x(t)) + q(t)f(x(t)) = 0.
Fanfan Li, Z. Han
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Some new integral inequalities on time scales containing integration on infinite intervals
Journal of Inequalities and Applications, 2013 In this paper, some new Gronwall-Bellman type integral inequalities on time scales containing integration on infinite intervals are established. They provide new bounds for unknown functions concerned and can be used as a handy tool in the research of ...
Zhaowei Meng, B. Zheng, Chuanbao Wen
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Variationally stable dynamic systems on time scales
Advances in Differential Equations, 2012 In this paper we give a Lyapunov functional characterization of h-stability for nonlinear dynamic systems on time scales under the condition of u∞-similarity between their variational systems.
S. Choi, Yinhua Cui, Namjip Koo
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Chebyshev-Gr\" uss type inequalities on time scales via two linear isotonic functionals
, 2016 We give a generalization of the Chebyshev-Grüss inequality by using the concept of derivative on time scales combined with application of the Chebyshev inequality involving two linear isotonic functionals.
L. Nikolova, S. Varošanec
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Journal of Inequalities and Applications, 2013 In this paper, some new Gronwall-Bellman-type integral inequalities in two independent variables on time scales are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of dynamic ...
Yu-Lan Wang +3 more
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