Results 81 to 90 of about 290,072 (190)
Polynomial solutions to constant coefficient differential equations [PDF]
Transactions of the American Mathematical Society, 1992 Let D 1 , … , D r ∈ C [ ∂ / ∂ x 1 , … , ∂ / ∂
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Cauchy-Kowalevski and polynomial ordinary differential equations
Electronic Journal of Differential Equations, 2012 The Cauchy-Kowalevski Theorem is the foremost result guaranteeing existence and uniqueness of local solutions for analytic quasilinear partial differential equations with Cauchy initial data. The techniques of Cauchy-Kowalevski may also be applied to
Roger J. Thelwell +2 more
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Mathematics, 2017 The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green’s function are obtained in the framework of distribution theory.
Tohru Morita, Ken-ichi Sato
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Abstract and Applied Analysis, 2012 We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir +3 more
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Global Structure of Quaternion Polynomial Differential Equations [PDF]
Communications in Mathematical Physics, 2011 In this paper we mainly study the global structure of the quaternion Bernoulli equations $\dot q=aq+bq^n$ for $q\in \mathbb H$ the quaternion field and also some other form of cubic quaternion differential equations. By using the Liouvillian theorem of integrability and the topological characterization of $2$--dimensional torus: orientable compact ...
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Solusi Polinomial Persamaan Integro-diferensial Fredholm Linear dengan Koefisien Konstan [PDF]
, 2015 This paper discusses how to obtain a polynomial solution of linear Fredhlom integrodifferential equation with constant coefficients using a matrix method.
Syamsudhuha, S. (Syamsudhuha) +2 more
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Renmin Zhujiang, 2020 Reservoir flood regulating calculation can be divided into two methods: solving ordinary differential equation and solving integral equation, of which the method of solving integral equation is more widely used in engineering.
ZHOU Bin
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Near-Legendre Differential Equations
Journal of Kufa for Mathematics and Computer, 2019 A differential equation of the form ((1-x^2m ) y^((k)) )^((2m-k))+λy=0,-1≤x≤1,0≤k≤2m;k,m integers is called a near-Legendre equation. We show that such an equation has infinitely many polynomial solutions corresponding to infinitely many λ.
Adel A. Abdelkarim
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Bayesian polynomial neural networks and polynomial neural ordinary differential equations [PDF]
PLOS Computational BiologySymbolic regression with polynomial neural networks and polynomial neural ordinary differential equations (ODEs) are two recent and powerful approaches for equation recovery of many science and engineering problems. However, these methods provide point estimates for the model parameters and are currently unable to accommodate noisy data.
Colby Fronk +3 more
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International Journal of Differential Equations, 2013 We investigate the properties of a general class of differential equations described by dy(t)/dt=fk+1(t)y(t)k+1+fk(t)y(t)k+⋯+f2(t)y(t)2+f1(t)y(t)+f0(t), with k>1 a positive integer and fi(t), 0≤i≤k+1, with fi(t), real functions of t.
Panayotis E. Nastou +3 more
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