Solving Inhomogeneous Linear Partial Differential Equations
被引量：1
Solving Inhomogeneous Linear Partial Differential Equations
Partial differential equations
linear differential equations
inhomogeneous differential equations.
参考文献11
-
1Ince E. L. Ordinary Differential Equations. Longmans, Green and Co., 1926 [Reprint by Dover Publications Inc., 1960].
-
2Schwarz F. Algorithmic Lie Theory for Solving Ordinary Differential Equations. Chapman & Hall/CRC, 2007.
-
3Abramowitz M., Stegun I. A. Handbook of Mathematical Functions. New York: Dover Publications, 1965.
-
4Grigoriev D., Schwarz F. Factoring and solving linear partial differential equations. Computing, 2004, 73: 179-197.
-
5Imschenetzky V. G. Etude sur les methodes d'integration des equations aux derivees partielles du second ordre d'une fonction de deux variables independantes. Grunert's Archiv LIV, 1872, 209-360.
-
6Schwarz F. Ideal intersections in rings of partial differential operators. Advances m Applied Mathematics, to appear.
-
7Li Z., Schwarz E, Tsarev S. Factoring Zero-dimensional Ideals of Linear Partial Differential Operators. Proceedings of the ISSAC'02, ACM Press, T. Mora, Ed., 2002, 168-175.
-
8Li Z., Schwarz E, Tsarev S. Factoring systems of linear PDE's with finite-dimensional solution space. J Symbolic Comput, 2003, 36: 443-471.
-
9Buium A., Cassidy Ph. Differential Algebraic Geometry and Differential Algebraic Groups: From Algebraic Differential Equations to Diophantine Geometry, in: Selected Works of Ellis Kolchin, AMS Press, 1999; H. Bass, A. Buium, Ph. Cassidy, Eds.
-
10Kolchin E. The notion of dimension in the theory of algebraic differential equations. Bulletin of the AMS, 1964, 70: 570-573.
-
1毕光庆,毕越凯.抽象算子与高阶线性偏微分方程(英文)[J].Chinese Quarterly Journal of Mathematics,2011,26(4):511-515.
-
2PANTSULAIA Gogi,GIORGADZE Givi.On a Linear Partial Differential Equation of the Higher Order in Two Variables with Initial Condition Whose Coefficients are Real-valued Simple Step Functions[J].Journal of Partial Differential Equations,2016,29(1):1-13.
-
3施惟慧,陈达段,唐一鸣.ON THE EXACT SOLUTIQN TO CERTAIN NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),1997,18(3):259-265.
-
4朱国庆,王红艳.Extended Determinant Solution of a (3 + 1)-Dimensional KP Equation[J].Communications in Theoretical Physics,2014,61(4):409-414.
-
5李工宝.THE EXISTENCE OF INFINITELY MANY SO UTIONS OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS IN UNBOUNDED DOMAINS[J].Acta Mathematica Scientia,1989,9(2):175-188. 被引量：1
-
6葛翔宇.CONORMAL SINGULARITIES FOR SOLUTION OF SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,1991,11(4):425-432.
-
7Bian Baojun Li Junjie Dept. of Math., Zhejiang Univ.,Hangzhou 310027..A REMARK ON THE SMOOTH LINEAR PARTIAL DIFFERENTIAL EQUATIONS IN TWO VARIABLES WITHOUT SOLUTIONS[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(1):8-10.
-
8苏朋朋,唐亚宁,陈妍呐.Wronskian and Grammian solutions for the(3+1)-dimensional Jimbo—Miwa equation[J].Chinese Physics B,2012,21(12):153-160.
-
9张鸿庆,谢福鼎,陆斌.A SYMBOLIC COMPUTATION METHOD TO DECIDE THE COMPLETENESS OF THE SOLUTIONS TO THE SYSTEM OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2002,23(10):1134-1139.
-
10Ye Caier Pan ZuliangDept. of Math.,Zhejiang Univ.,Hangzhou 310027,China..REDUCTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATION AND EXACT SOLUTIONS[J].Applied Mathematics(A Journal of Chinese Universities),2003,18(2):179-185. 被引量：4
