Results 21 to 30 of about 82,878 (275)
Nonlinear Abel type integral equation in modelling creep crack propagation [PDF]
, 2011 Copyright @ 2011 Birkhäuser BostonA nonlinear Abel-type equation is obtained in this paper to model creep crack time-dependent propagation in the infinite viscoelastic plane. A finite time when the integral equation solution becomes unbounded is obtained
G.N. Savin +9 more
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Angewandte Chemie, EarlyView.Gas‐phase complexation of chiral methyloxirane by achiral phenol results in induced chiroptical response of phenol. Two pseudo enantiomer complexes are observed, corresponding to hydrogen bonding from phenol to either of the lone electron pair of the methyloxirane oxygen, denoted as Pro R and Pro S, with opposite chiral deformation of phenol and ...
Etienne Rouquet +5 more
wiley +2 more sources
Evolution of spherical cavitation bubbles: parametric and closed-form solutions [PDF]
, 2016 We present an analysis of the Rayleigh-Plesset equation for a three dimensional vacuous bubble in water. In the simplest case when the effects of surface tension are neglected, the known parametric solutions for the radius and time evolution of the ...
Haret C. Rosu +5 more
core +3 more sources
Black branes with cosmological constant
Journal of High Energy Physics, 2022 We study neutral black branes with flat and curved worldvolumes in the presence of a negative cosmological constant. We reduce the equations governing the dynamics of such objects to one second-order ODE and perform various asymptotic expansions of the ...
Rhucha Deshpande, Oleg Lunin
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Solution of abel‐type hypergeometric integral equation
Mathematical Modelling and Analysis, 1997 The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are ...
A. A. Kilbas +3 more
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Cubic Systems and Abel Equations
Journal of Differential Equations, 1998 Consider autonomous differential systems of the type \[ dx/dt = \lambda x + y + P_2 (x,y)+ P_3 (x,y), \qquad dy/dt =-x+ \lambda y + Q_2 (x,y)+ Q_3 (x,y),\tag \(*\) \] where \(P_i (x,y)\) and \(Q_i (x,y)\), \(i=2,3\), are homogeneous polynomials of degree \(i\).
Devlin, J., Lloyd, N.G., Pearson, J.M.
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Homogeneous-Like Generalized Cubic Systems
International Journal of Differential Equations, 2016 We consider properties and center conditions for plane polynomial systems of the forms x˙=-y-p1(x,y)-p2(x,y), y˙=x+q1(x,y)+q2(x,y) where p1, q1 and p2, q2 are polynomials of degrees n and 2n-1, respectively, for integers n≥2. We restrict our attention to
G. R. Nicklason
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Fire, 2023 The temperature field and chemiluminescence measurements of axisymmetric flame are obtained simultaneously in only one image. Digital Laser Speckle Displacement measures temperature fields, and direct image flame determines chemiluminescence values ...
J. C. I. Zamarripa-Ramírez +2 more
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Rational solutions of Abel differential equations
Journal of Mathematical Analysis and Applications, 2022 19 ...
J.L. Bravo +3 more
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