It is known that it suffices to prove the conjecture for differential equations on P-1 {0, 1, infinity}. We prove a variant of this conjecture for P-1 {0, 1, infinity}, which asserts that if the equation satisfies a certain convergence condition for all p, then its monodromy is ...
22 Weak solutions to the master equation of a potential mean field game 57:26 Describing interacting particle systems via partial differential equations and g 30:38 Differential Equations and Algebraic Geometry - 1 56:20 Epidemic Model-Based Benchmark for Optimal Control on Networks 22:53 Graphon...
algebraic differential equationorderwiman-valiron theorynormal familydifferential polynomialnormal familyIn this paper, the growth of the meromorphic solutions of the equation f″= L(z, f )(f′)~2 + M(z, f)f′ + N(z, f), where L,M,N are birational functions, is studied. We have ...
This example reformulates a system of ODEs as a system of differential algebraic equations (DAEs). The Robertson problem found in hb1ode.m is a classic test problem for programs that solve stiff ODEs. The system of equations is hb1ode solves this system of ODEs to steady state with the ...
Using differential galois theory, we generalize this and characterize those polynomial relations among solutions of linear differential equations that force these solutions to have algebraic logarithmic derivatives. We also show that if f is an algebraic function of genus ≥ 1 and if y and f(y) ...
Using functional derivative technique in quantum field theory, the algebraic dynamics approach for solution of ordinary differential evolution equations was generalized to treat partial differential evolution equations. The partial differential evo-lutio
generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge--Kutta and BDF methods) are discussed and ...
The Lobatto collocation method is modified for efficiently solving linear boundary value problems of differential-algebraic equations with index 1. The sta... Y Bai - 《Computing》 被引量: 11发表: 1992年 A Computational Approach for Constructing Singular Solutions of One-Dimensional Pseudoparabolic an...
2) algebraic differential equations 代数微分方程 1. On the growth's estimate of meromorphic solutions of some classes of higher order algebraic differential equations 关于某些高阶代数微分方程亚纯解的增长性(英文) 2. The main purpose of this paper is to prove some theorems on the growth of ...
Explicit expressions for solutions of boundary-value problems and Cauchy problems related to the operator differential equation X ( n)+ A n1 X n1)++ A 0 X=0 are given in terms of solutions of the algebraic operator equation X n+ A n1 X n1 ++ A 0=0. A method for solving this algebr...