Results 11 to 20 of about 242,665 (215)
Algebraic structure of space and field [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili +1 more
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Simple algorithm for judging equivalence of differential-algebraic equation systems [PDF]
Scientific Reports, 2023 Mathematical formulas play a prominent role in science, technology, engineering, and mathematics (STEM) documents; understanding STEM documents usually requires knowing the difference between equation groups containing multiple equations.
Shota Kato, Chunpu Zhang, Manabu Kano
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Differential Equations for Algebraic Functions [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions.
Bostan, Alin +4 more
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Novel closed-form travelling wave solutions for space-time fractional coupled Boussinesq–Burger model using extended direct algebraic method [PDF]
Scientific ReportsThe nonlinear fractional partial differential equation known as the space-time fractional coupled Boussinesq-Burger equation (S TFcBBE) is examined in this work.
Taha Radwan +4 more
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Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]
Mathematics and Computational Sciences, 2023 This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Solutions of algebraic differential equations
Journal of Differential Equations, 1983 This paper may be considered as a mathematical essay on the question “What is a solution of an algebraic differential equation?” Many theorems in differential algebra are proved by differentiating an algebraic differential equation several times, and then eliminating certain quantities, say, by the use of resultants.
Lee A. Rubel
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Singularities of algebraic differential equations [PDF]
Advances in Applied Mathematics, 2021 There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose an extension of the key concepts to arbitrary systems of ordinary or partial differential equations.
Lange-Hegermann, Markus +3 more
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Algebraic and differential operator equations
Linear Algebra and its Applications, 1988 Let H be a complex separable Hilbert space and let L(H) be the algebra of all bounded linear operators on H. The boundary value problem (1) \(X^{(n)}+A_{n-1}X^{(n-1)}+...+A_ 0X=0\), (2) \(EX(b)-X(0)F=G\), where \(A_ i,E,F,G\in L(H)\) and b is a positive real number is considered.
L. Jódar
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Irreducible Systems of Algebraic Differential Equations [PDF]
Transactions of the American Mathematical Society, 1939 Let 7 be a domain of rationality, and let yi, , Yn be a set of indeterminates. Then the set of prime ideals in the ring of polynomials j7 [yi, , yn] satisfies a divisor-chain condition for decreasing sequences as well as for increasing sequences. That is, a sequence of prime ideals 11, 12, in 7[yi, , y.] must be of finite length not only if 2;i1 ...
Walter Strodt
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