Results 31 to 40 of about 37,007 (164)
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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The Abrikosov vortex in curved space
Journal of High Energy Physics, 2021 We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes.
Jan Albert
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PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM [PDF]
Communications in Contemporary Mathematics, 2007 The equation -Δu = λeuposed in the unit ball B ⊆ ℝN, with homogeneous Dirichlet condition u|∂B= 0, has the singular solution [Formula: see text] when λ = 2(N - 2). If N ≥ 4 we show that under small deformations of the ball there is a singular solution (u,λ) close to (U,2(N - 2)).
Davila, J., Dupaigne, L.
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Investigation the soliton solutions of mussel and algae model leading to concentration
Alexandria Engineering Journal, 2023 In this study, the abundant families of soliton solutions are constructed for the mussel-algae model which provides information about represents the concentration of algae in the water layer, and mussel biomass of sediment surface in the per square meter.
Warda Islam +8 more
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Exact solutions and singularities in string theory [PDF]
Physical Review D, 1994 We construct two new classes of exact solutions to string theory which are not of the standard plane wave or gauged WZW type. Many of these solutions have curvature singularities. The first class includes the fundamental string solution, for which the string coupling vanishes near the singularity.
Horowitz, G. T., Tseytlin, A. A.
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. There is no problem in finding a general solution to the ordinary differential Clairaut equation. The corresponding procedure is described in details in the theory of ordinary differential equations.
L. A. Zhidova
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On the singular solutions of nonlinear singular partial differential equations I [PDF]
Journal of the Mathematical Society of Japan, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On singular solutions for second order delayed differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Asymptotic properties and estimate of singular solutions (either defined on a finite interval only or trivial in a neighbouhood of infinity) of the second order delay differential equation with p-Laplacian are investigated.
Miroslav Bartusek
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Singularity of solutions to singular SPDEs
Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs on the $d$-dimensional torus to be singular with respect to the law of the Gaussian measure induced by the linearised equation.
Hairer, Martin +2 more
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