Results 11 to 20 of about 64,352 (312)
How to define singular solutions [PDF]
Kodai Mathematical Journal, 1993 Because implicit first order differential equations may have two- parameter families of solutions, the notions of ``general solution'' and ``singular solution'' as sometimes described in elementary texts are not appropriate. The authors use the ideas of contact geometry to give rigorous definitions, improving on an earlier approach by \textit{M.
Izumiya, Shyūichi, Yu, Jian Ming
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Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The paper gives a solution to one of the problems of the analytical approximate method for one class first order nonlinear differential equations with moving singular points in the real domain.
Viktor N. Orlov, Oleg A. Kovalchuk
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A numerical study of dengue internal transmission model with fractional piecewise derivative
Results in Physics, 2022 The goal of this paper is to study the dynamics of the dengue internal transmission model using a novel piecewise derivative approach in the sense of singular and non-singular kernels.
Shabir Ahmad +5 more
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Alexandria Engineering Journal, 2023 In this paper, the main motive is to mathematical explore the thin-film ferroelectric material partial differential equation which addresses the Ferroelectrics, that are being examined as key materials for applications in piezoelectric, pyroelectric ...
Waqas Ali Faridi +4 more
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Singular solutions to a quasilinear {ODE}
Advances in Differential Equations, 2005 7
DALBONO, Francesca +1 more
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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 \(p\).
Michal Fečkan, Flaviano Battelli
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Ain Shams Engineering Journal, 2018 In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation.
H.M. Jaradat +4 more
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Alexandria Engineering Journal, 2023 In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
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An Exact Solution of the Binary Singular Problem
Journal of Function Spaces, 2014 Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular ...
Baiqing Sun +3 more
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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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