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Singular solutions of a singular differential equation [PDF]

open access: yesJournal 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
doaj   +3 more sources

Singular solutions of thep-Laplace equation [PDF]

open access: bronzeMathematische Annalen, 1987
Correction to the authors' paper [ibid. 275, 599-615 (1986; Zbl 0592.35031)].
Satyanad Kichenassamy, Laurent V�ron
openalex   +7 more sources

IMPROVING A POSTERIORI SPATIAL DISCRETIZATION ERROR ESTIMATION FOR SN TRANSPORT BY SINGULAR CHARACTERISTICS TRACKING [PDF]

open access: yesEPJ Web of Conferences, 2021
Previously, we have developed a novel spatial discretization error estimator, the “residual source” estimator, in which an error transport problem, analogous to the discretized transport equation, is solved to acquire an estimate of the error, with a ...
Hart Nathan H., Azmy Yousry Y.
doaj   +1 more source

Well-posedness criteria for one family of boundary value problems

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
This paper considers a family of linear two-point boundary value problems for systems of ordinary differential equations. The questions of existence of its solutions are investigated and methods of finding approximate solutions are proposed.
P.B. Abdimanapova, S.M. Temesheva
doaj   +1 more source

Periodic Waves and Ligaments on the Surface of a Viscous Exponentially Stratified Fluid in a Uniform Gravity Field

open access: yesAxioms, 2022
The theory of singular perturbations in a unified formulation is used, for the first time, to study the propagation of two-dimensional periodic perturbations, including capillary and gravitational surface waves and accompanying ligaments in the 10 ...
Yuli D. Chashechkin, Artem A. Ochirov
doaj   +1 more source

Singular solutions in soft limits [PDF]

open access: yesJournal 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
Freddy Cachazo   +4 more
openaire   +4 more sources

Touchdown solutions in general MEMS models

open access: yesAdvances in Nonlinear Analysis, 2023
We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1 ...
Clemente Rodrigo   +3 more
doaj   +1 more source

On the Existence of Singular Solutions [PDF]

open access: yesgmj, 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}.
Miroslav Bartušek, Jan Osička
openaire   +3 more sources

Exact Fractional Solution by Nucci’s Reduction Approach and New Analytical Propagating Optical Soliton Structures in Fiber-Optics

open access: yesFractal and Fractional, 2022
This study examines the Chen–Lee–Liu dynamical equation, which represents the propagation of optical pulses in optical fibers and plasma. A new extended direct algebraic technique and Nucci’s scheme are used to find new solitary wave profiles. The method
Waqas Ali Faridi   +2 more
doaj   +1 more source

Moving Singular Points and the Van der Pol Equation, as Well as the Uniqueness of Its Solution

open access: yesMathematics, 2023
The article considers the Van der Pol equation nonlinearity aspect related to a moving singular point. The fact of the existence of moving singular points and the uniqueness of their solution for complex domains have been proved.
Victor Orlov
doaj   +1 more source

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