Results 1 to 10 of about 585,491 (281)
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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Singular solutions in soft limits [PDF]
Journal of High Energy Physics, 2020 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.
Freddy Cachazo, Bruno Umbert, Yong Zhang
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Twin Solutions to Singular Dirichlet Problems
Journal of Mathematical Analysis and Applications, 1999 The authors consider the Dirichlet second-order boundary value problem \[ y''+ \phi(t)[g(y(t))+ h(y(t))]= 0,\quad 0< t< 1,\quad y(0)= y(1)= 0,\tag{1} \] and establish the existence of two solutions \(y_1,y_2\in C[0,1]\cap C^2(0, 1)\) with \(y_1> 0\), \(y_2> 0\) on \((0,1)\). The nonlinearity in (1) may be singular at \(y= 0\), \(t= 0\) and/or \(t= 1\).
Ravi P Agarwal
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Singular Kneser solutions of higher-order quasilinear ordinary differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we give a new sufficient condition in order that all nontrivial Kneser solutions of the quasilinear ordinary differential equation \[ D(\alpha_n, \alpha_{n-1}, \dots, \alpha_1)x = (-1)^{n}p(t)|x|^{\beta}\mathrm{sgn}\,x, \quad t \geq a, \tag{
Manabu Naito
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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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Using Convolutional Neural Networks to Automate Aircraft Maintenance Visual Inspection
Aerospace, 2020 Convolutional Neural Networks combined with autonomous drones are increasingly seen as enablers of partially automating the aircraft maintenance visual inspection process.
Anil Doğru +3 more
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مجلة المختار للعلوم, 2021 Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation.
Emad E. M. Mikael +2 more
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Fractal and Fractional, 2023 This work investigates the complex dynamics of the stochastic fractional Kuramoto–Sivashinsky equation (SFKSE) with conformable fractional derivatives. The research begins with the creation of singular stochastic soliton solutions utilizing the modified ...
M. Mossa Al-Sawalha +4 more
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On singular solutions of the stationary Navier-Stokes system in power cusp domains
Mathematical Modelling and Analysis, 2021 The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied.
Konstantinas Pileckas, Alicija Raciene
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The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term
Advanced Nonlinear Studies, 2021 In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
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