Results 11 to 20 of about 58,847 (264)
Singular solutions of a singular differential equation
Journal of Inequalities and Applications, 2000 An attempt is made to study the problem of existence of singular solutions to singular differential equations of the type which have never been touched in the literature. Here and are positive constants and is a positive continuous function on .
Naito Manabu, Kusano Takaŝi
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On the Existence of Singular Solutions [PDF]
gmj, 2001 Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = ƒ(𝑡, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, τ) → 𝐑, τ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.
Bartušek, M., Osička, J.
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Singular solutions in soft limits [PDF]
Journal of High Energy Physics, 2020 Abstract A generalization of the scattering equations on X (2, n), the configuration space of n points on ℂℙ1, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors. One of the new features in X (k, n) with k > 2 is the presence of both regular and singular solutions in
Cachazo, Freddy +2 more
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Singular solutions to a quasilinear {ODE}
Advances in Differential Equations, 2005 n ...
DALBONO, Francesca +1 more
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Singular solutions of thep-Laplace equation [PDF]
Mathematische Annalen, 1986 Correction to the authors' paper [ibid. 275, 599-615 (1986; Zbl 0592.35031)].
Kichenassamy, Satyanad, Véron, Laurent
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On the singularities of solutions to singular perturbation problems
Journal of Physics: Conference Series, 2005 We consider a singularly perturbed complex first order ODE eu ' = Φ(x, u, a, e), x, u , e > 0 is a small complex parameter and a is a control parameter. It is proven that the singularities of some solutions are regularly spaced and that they move from one to the next as a runs about a loop of index one around a value of overstability.
A Fruchard, R Schäfke
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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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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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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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