Contents of Volume 97
Formal and Analytic Solutions of Differential and Difference Equations
Editors: Werner Balser, Galina Filipuk, Grzegorz Łysik, Sławomir Michalik
ISBN: 978-83-86806-16-4,
Editors: Werner Balser, Galina Filipuk, Grzegorz Łysik, Sławomir Michalik
ISBN: 978-83-86806-16-4,
- Preface, 5-6
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Semi-formal theory and Stokes' phenomenon of non-linear meromorphic systems of ordinary differential equations Banach Center Publications 97 (2012), 11-28 MSC: Primary 34A34; Secondary 34M49. DOI: 10.4064/bc97-0-1
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Multisummability and ordinary meromorphic differential equations Banach Center Publications 97 (2012), 29-38 MSC: Primary 34M30. DOI: 10.4064/bc97-0-2
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Regular coordinates and reduction of deformation equations for Fuchsian systems Banach Center Publications 97 (2012), 39-58 MSC: Primary 34M56; Secondary 33E17. DOI: 10.4064/bc97-0-3
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On movable singularities of self-similar solutions of semilinear wave equations Banach Center Publications 97 (2012), 59-72 MSC: Primary 34M35; Secondary 65L99. DOI: 10.4064/bc97-0-4
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On $q$-asymptotics for $q$-difference-differential equations with Fuchsian and irregular singularities Banach Center Publications 97 (2012), 73-90 MSC: 34K25; 34M25; 34M30; 33E30. DOI: 10.4064/bc97-0-5
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Convergence of formal solutions of first order singular partial differential equations of nilpotent type Banach Center Publications 97 (2012), 91-99 MSC: Primary 35A20; Secondary 34M03, 34M25. DOI: 10.4064/bc97-0-6
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A notion of boundedness for hyperfunctions and Massera type theorems Banach Center Publications 97 (2012), 101-111 MSC: Primary 32A45; Secondary 34K13. DOI: 10.4064/bc97-0-7
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Asymptotic expansions of solutions to the fifth Painlevé equation in neighbourhoods of singular and nonsingular points of the equation Banach Center Publications 97 (2012), 113-124 MSC: Primary 34M55; Secondary 34E05. DOI: 10.4064/bc97-0-8
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Maillet type theorem and Gevrey regularity in time of solutions to nonlinear partial differential equations Banach Center Publications 97 (2012), 125-140 MSC: Primary 35B65; Secondary 35G20. DOI: 10.4064/bc97-0-9
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Euler's integral transformation for systems of linear differential equations with irregular singularities Banach Center Publications 97 (2012), 141-152 MSC: Primary 34M03; Secondary 34M25, 34M35. DOI: 10.4064/bc97-0-10
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Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions Banach Center Publications 97 (2012), 153-160 MSC: Primary 35A01; Secondary 35L70. DOI: 10.4064/bc97-0-11
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Borel summability for a formal solution of $\frac{\partial}{\partial t}u(t,x)= \bigl(\frac{\partial}{\partial x}\bigr)^2u(t,x) +t\bigl(t\,\frac{\partial}{\partial t}\bigr)^3u(t,x)$ Banach Center Publications 97 (2012), 161-168 MSC: Primary 34M30; Secondary 34M25. DOI: 10.4064/bc97-0-12
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Summability of first integrals of a $C^\omega$-non-integrable resonant Hamiltonian system Banach Center Publications 97 (2012), 169-178 MSC: Primary 34M30; Secondary 37F50, 37G05. DOI: 10.4064/bc97-0-13
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Asymptotic analysis and special values of generalised multiple zeta functions Banach Center Publications 97 (2012), 179-190 MSC: Primary 11M32, 34M03, 34M30; Secondary 33C20, 11G55. DOI: 10.4064/bc97-0-14