Results 31 to 40 of about 11,623,619 (358)
Mathematics, 2022 The Cauchy problem for a nonlinear system of differential equations with a Stieltjes integral (loads) of the desired solution is considered. The equation contains bifurcation parameters where the system has a trivial solution for any values.
Nikolai Sidorov, Denis Sidorov
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A second-order impulsive Cauchy problem
International Journal of Mathematics and Mathematical Sciences, 2002 We study the existence of mild and classical solutions for an abstract second-order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)).
Eduardo Hernández Morales
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A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator [PDF]
Differential Equations & Applications, 2017 In this paper, we propose a generalized Gronwall inequality through the fractional integral with respect to another function. The Cauchy-type problem for a nonlinear differential equation involving the $\psi$-Hilfer fractional derivative and the ...
J. Sousa, E. C. Oliveira
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Some remarks on the continuity equation [PDF]
, 2012 We describe some relations between the properties of the Cauchy problem for an ODE and the properties of the Cauchy problem for the associated continuity equation in the class of ...
Patrick Bernard +2 more
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A Computational Journey Toward an Optimal Design for Metamaterial Epicardial Passive Sleeves
Advanced Healthcare Materials, EarlyView.Passive epicardial sleeves are evaluated in 3D in‐silico heart models to reveal how sleeve geometry, stiffness, anisotropy, and metamaterial architecture influence cardiac mechanics after myocardial infarction. A continuum‐to‐auxetic design exploration shows that region‐specific mechanical engagement can reduce infarct bulging and modulate torsional ...
Vahid Naeini +8 more
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Global stability of stage-structured single species model on with Beverton–Holt birth function
Applied Mathematics in Science and EngineeringOur article discusses a Cauchy problem of a single species model with stage structure and Beverton–Holt birth function. The global stability of the Cauchy problem is completely surveyed by using the global stability of the corresponding elliptic system ...
Hongtao Zhang, Jingfu Zhao
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On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
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Compression‐Tension‐Asymmetry and Stiffness Nonlinearity of Collagen‐Matrigel Composite Hydrogels
Advanced Healthcare Materials, EarlyView.Self‐assembled collagen hydrogel matrices are widely used in tissue engineering applications. These matrices stiffen and contract laterally under tension due to fiber alignment and soften and collapse under compression due to fiber buckling. It is demonstrated that filler materials, such as Matrigel, linearize the mechanical behavior of collagen ...
David Böhringer +9 more
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Blow-up criteria for different fluid models in anisotropic Lorentz spaces
AIMS Mathematics, 2023 This paper establishes new blow-up criteria, in anisotropic Lorentz spaces, via one-directional derivatives of the velocity and magnetic fields for the Cauchy problem to the 3D magneto-micropolar model and via one-directional derivative of velocity for ...
Muhammad Naqeeb +2 more
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The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions
, 2010 We derive explicit formulae for a set of constraints for the Einstein equations on a null hypersurface, in arbitrary dimensions. We solve these constraints and show that they provide necessary and sufficient conditions so that a spacetime solution of the
A.D. Rendall +40 more
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