Results 31 to 40 of about 8,898,771 (321)
A New Approach to Non-Singular Plane Cracks Theory in Gradient Elasticity
Mathematical and Computational Applications, 2019 A non-local solution is obtained here in the theory of cracks, which depends on the scale parameter in the non-local theory of elasticity. The gradient solution is constructed as a regular solution of the inhomogeneous Helmholtz equation, where the ...
Sergey A. Lurie +2 more
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On the Structure of Advective Accretion Disks At High Luminosity
, 2000 Global solutions of optically thick advective accretion disks around black holes are constructed. The solutions are obtained by solving numerically a set of ordinary differential equations corresponding to a steady axisymmetric geometrically thin disk ...
Fukue J. +14 more
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International Journal of Mathematics and Mathematical Sciences, 1990 The author proves that the abstract differential inequality ‖u′(t)−A(t)u(t)‖2≤γ[ω(t)+∫0tω(η)dη] in which the linear operator A(t)=M(t)+N(t), M symmetric and N antisymmetric, is in general unbounded, ω(t)=t−2ψ(t)‖u(t)‖2+‖M(t)u(t)‖‖u(t)‖ and γ is a ...
Alan V. Lair
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The formation of solitary wave solutions and their propagation for Kuralay equation
Results in Physics, 2023 In this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types
Waqas Ali Faridi +5 more
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The use of dual reciprocity method for 2D laminar viscous flow [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
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New solutions of Heun general equation
, 2009 We show that in four particular cases the derivative of the solution of Heun general equation can be expressed in terms of a solution to another Heun equation.
Appell P +12 more
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Uniqueness of singular solution of semilinear elliptic equation
, 2010 In this paper, we study asymptotic behavior of solution near 0 for a class of elliptic problem.
Baishun, Lai, Qing, Luo
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Subharmonic Solutions in Singular Systems
Journal of Differential Equations, 1996 The authors consider the problem of bifurcation of periodic solutions in singular systems of differential equations \[ \varepsilon\dot{u}=f(u)+\varepsilon g(t,u,\varepsilon)\quad u\in\mathbb{R}^n, \] where \(g(t+2,u,\varepsilon)=g(t,u,\varepsilon)\) and \(\dot{u}=f(u)\) has an orbit \(\gamma(t)\) homoclinic to a hyperbolic equilibrium point \(p\).
Battelli, Flaviano, Fečkan, Michal
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
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Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
, 2005 In classical general relativity, the generic approach to the initial singularity is usually understood in terms of the BKL scenario. In this scenario, along with the Bianchi IX model, the exact, singular, Kasner solution of vacuum Bianchi I model also ...
A. Ashtekar +5 more
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