Results 21 to 30 of about 64,352 (312)
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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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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On existence of singular solutions
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of singular integral equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
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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 formation of solitary wave solutions and their propagation for Kuralay equation
Results in Physics, 2023 In this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types
Waqas Ali Faridi +5 more
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The use of dual reciprocity method for 2D laminar viscous flow [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
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A Study of Singular Similarity Solutions to Laplace’s Equation with Dirichlet Boundary Conditions
AppliedMathThe infinite series solution to the boundary-value problems of Laplace’s equation with discontinuous Dirichlet boundary conditions was found by using the basic method of separation of variables.
Chao-Kang Feng, Jyh-Haw Tang
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
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FEBS Letters, EarlyView.The Arabidopsis mutants hls1 hlh1 and amp1 lamp1 exhibit pleiotropic developmental phenotypes. Although the functions of the causative genes remain unclear, they act in the same genetic pathway and are thought to generate non‐cell‐autonomous signals.
Takashi Nobusawa, Makoto Kusaba
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