Results 21 to 30 of about 930 (158)

The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations

Journal of Applied Mathematics, 2013
A 1 + 1-dimensional coupled soliton equations are decomposed into two systems of ordinary differential equations. The Abel-Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1 ...
Hongfei Pan, Tiecheng Xia
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Relativistic dissipative cosmological models and abel differential equation

Computers & Mathematics with Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mak, MK, Harko, T
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Cauchy Problem for an Abstract Evolution Equation of Fractional Order

Fractal and Fractional, 2023
In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable.
Maksim V. Kukushkin
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Almost periodic solutions for Abel equations

International Journal of Mathematics and Mathematical Sciences, 1997
Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Zeng Weiyao, Shi Jinlin, Lin Zhensheng, Lokenath Debnath   +3 more
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Center conditions at infinity for Abel differential equations [PDF]

Annals of Mathematics, 2010
It is said that the Abel differential equation \[ y'=p(x) y^2+q(x) y^3,\tag{1} \] where \(p\) and \(q\) are polynomials, has a center at a set \(A=\{a_1,\dots, a_r\}\) of complex numbers if \(y(a_1)=\dots=y(a_r)\) for any solution \(y(x)\) with the initial value \(y(a_1)\) sufficiently small.
Briskin, Miriam, Roytvarf, Nina, Yomdin, Yosef   +2 more
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Exact Solutions for Certain Nonlinear Autonomous Ordinary Differential Equations of the Second Order and Families of Two-Dimensional Autonomous Systems

International Journal of Differential Equations, 2010
Certain nonlinear autonomous ordinary differential equations of the second order are reduced to Abel equations of the first kind ((Ab-1) equations). Based on the results of a previous work, concerning a closed-form solution of a general (Ab-1) equation ...
M. P. Markakis
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A Generalized Finite Difference Method for Solving Hamilton–Jacobi–Bellman Equations in Optimal Investment

Mathematics, 2023
This paper studies the numerical algorithm of stochastic control problems in investment optimization. Investors choose the optimal investment to maximize the expected return under uncertainty.
Jiamian Lin, Xi Li, SingRu (Celine) Hoe, Zhongfeng Yan   +3 more
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Approximate Solutions of Fractional Differential Equations Using Optimal q-Homotopy Analysis Method: A Case Study of Abel Differential Equations

Fractal and Fractional
In this study, the optimal q-Homotopy Analysis Method (optimal q-HAM) has been used to investigate fractional Abel differential equations. This article is designed as a case study, where several forms of Abel equations, containing Bernoulli and Riccati ...
Süleyman Şengül, Zafer Bekiryazici, Mehmet Merdan   +2 more
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On a boundary value problem for a system of hyperbolic equations with the wave operator and a singular coefficient of lower derivatives

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The boundary value problem with data given on the parallel characteristics for the system of hyperbolic equations with the wave operator and the singular matrix coefficient at the lower derivative is considered in the characteristic square.
Rina Rinatovna Rayanova
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Charged fluids in higher order gravity

European Physical Journal C: Particles and Fields, 2023
We generate the field equations for a charged gravitating perfect fluid in Einstein–Gauss–Bonnet gravity for all spacetime dimensions. The spacetime is static and spherically symmetric which gives rise to the charged condition of pressure isotropy that ...
Shavani Naicker, Sunil D. Maharaj, Byron P. Brassel   +2 more
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