Formal and convergent power series solutions of singular partial differential equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1979-0546913-5 ◽

1979 ◽

Vol 256 ◽

pp. 163-163 ◽

Author(s):

Stanley Kaplan

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Series Solutions ◽

Convergent Power Series ◽

Partial Differential ◽

Power Series Solutions

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Multisummability of formal power series solutions of partial differential equations with constant coefficients

Journal of Differential Equations ◽

10.1016/j.jde.2004.02.002 ◽

2004 ◽

Vol 201 (1) ◽

pp. 63-74 ◽

Author(s):

Werner Balser

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Formal Power Series ◽

Series Solutions ◽

Partial Differential ◽

Power Series Solutions ◽

Constant Coefficients ◽

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Gevrey Order of Formal Power Series Solutions of Inhomogeneous Partial Differential Equations with Constant Coefficients

Funkcialaj Ekvacioj ◽

10.1619/fesi.53.411 ◽

2010 ◽

Vol 53 (3) ◽

pp. 411-434 ◽

Author(s):

Werner Balser ◽

Masafumi Yoshino

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Formal Power Series ◽

Series Solutions ◽

Partial Differential ◽

Power Series Solutions ◽

Constant Coefficients ◽

Gevrey Order ◽

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Generalized power series solutions to linear partial differential equations

Journal of Symbolic Computation ◽

10.1016/j.jsc.2007.04.001 ◽

2007 ◽

Vol 42 (8) ◽

pp. 771-791

Author(s):

Joris van der Hoeven

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Series Solutions ◽

Partial Differential ◽

Generalized Power Series ◽

Linear Partial Differential Equations ◽

Power Series Solutions

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Summability of Formal Power-Series Solutions of Partial Differential Equations with Constant Coefficients

Journal of Mathematical Sciences ◽

10.1023/b:joth.0000047246.49736.b0 ◽

2004 ◽

Vol 124 (4) ◽

pp. 5085-5097 ◽

Author(s):

Werner Balser

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Formal Power Series ◽

Series Solutions ◽

Partial Differential ◽

Power Series Solutions ◽

Constant Coefficients ◽

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Basis for Power Series Solutions to Systems of Linear, Constant Coefficient Partial Differential Equations

Advances in Mathematics ◽

10.1006/aima.1998.1782 ◽

1999 ◽

Vol 141 (1) ◽

pp. 155-166 ◽

Author(s):

Paul S. Pedersen

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Constant Coefficient ◽

Series Solutions ◽

Partial Differential ◽

Power Series Solutions

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Summability of the Formal Power Series Solutions of a Certain Class of Inhomogeneous Partial Differential Equations with a Polynomial Semilinearity and Variable Coefficients

Results in Mathematics ◽

10.1007/s00025-021-01428-z ◽

2021 ◽

Vol 76 (3) ◽

Author(s):

Pascal Remy

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Formal Power Series ◽

Variable Coefficients ◽

Series Solutions ◽

Partial Differential ◽

Power Series Solutions ◽

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CONVERGENT POWER SERIES SOLUTIONS OF A NONLINEAR PARTIAL DIFFERENTIAL EQUATION

Analysis ◽

10.1524/anly.1993.13.4.395 ◽

1993 ◽

Vol 13 (4) ◽

pp. 395-402

Author(s):

Raymond Gérard ◽

Yasutaka Sibuya

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Power Series ◽

Nonlinear Partial Differential Equation ◽

Series Solutions ◽

Convergent Power Series ◽

Partial Differential ◽

Power Series Solutions

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SURFACE BLENDING USING A POWER SERIES SOLUTION TO FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS

International Journal of Shape Modeling ◽

10.1142/s0218654304000651 ◽

2004 ◽

Vol 10 (02) ◽

pp. 155-185 ◽

Author(s):

JIAN J. ZHANG ◽

LIHUA YOU

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Fourth Order ◽

Series Solution ◽

Power Series Solution ◽

Partial Differential ◽

Surface Blending

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Power Series Solutions of Ordinary Differential Equations

Differential Equations with Mathematica ◽

10.1016/b978-0-12-041539-7.50009-3 ◽

1993 ◽

pp. 216-271

Author(s):

Martha L. Abell ◽

James P. Braselton

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Series Solutions ◽

Power Series Solutions

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Power Series Solutions of Differential Equations

A Short Course in Mathematical Methods with Maple ◽

10.1142/9789812775078_0011 ◽

2005 ◽

pp. 539-566

Keyword(s):

Power Series ◽

Differential Equations ◽

Series Solutions ◽

Power Series Solutions

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