Tahara, Hidetoshi On the summability of formal solutions of some linear \(q\)-difference-differential equations. (English) Zbl 1447.35115 Funkc. Ekvacioj, Ser. Int. 63, No. 2, 259-291 (2020). MSC: 35C20 35C10 39A13 PDFBibTeX XMLCite \textit{H. Tahara}, Funkc. Ekvacioj, Ser. Int. 63, No. 2, 259--291 (2020; Zbl 1447.35115) Full Text: DOI arXiv
Yamane, Hideshi Long-time asymptotics for the integrable discrete nonlinear Schrödinger equation: the focusing case. (English) Zbl 1434.35197 Funkc. Ekvacioj, Ser. Int. 62, No. 2, 227-253 (2019). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q15 PDFBibTeX XMLCite \textit{H. Yamane}, Funkc. Ekvacioj, Ser. Int. 62, No. 2, 227--253 (2019; Zbl 1434.35197) Full Text: DOI arXiv
Shimomura, Shun Series expansions of Painlevé transcendents near the point at infinity. (English) Zbl 1344.34097 Funkc. Ekvacioj, Ser. Int. 58, No. 2, 277-319 (2015). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 34M55 34M30 34M25 PDFBibTeX XMLCite \textit{S. Shimomura}, Funkc. Ekvacioj, Ser. Int. 58, No. 2, 277--319 (2015; Zbl 1344.34097) Full Text: DOI
Remy, P. Stokes phenomenon for single-level linear differential systems: a perturbative approach. (English) Zbl 1330.34140 Funkc. Ekvacioj, Ser. Int. 58, No. 2, 177-222 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M40 34M03 34M30 PDFBibTeX XMLCite \textit{P. Remy}, Funkc. Ekvacioj, Ser. Int. 58, No. 2, 177--222 (2015; Zbl 1330.34140) Full Text: DOI
Getmanenko, Alexander Resurgent analysis of the Witten Laplacian in one dimension. II. (English) Zbl 1286.34123 Funkc. Ekvacioj, Ser. Int. 56, No. 1, 121-176 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M60 34E20 34M30 34M40 58E05 34L10 34L15 PDFBibTeX XMLCite \textit{A. Getmanenko}, Funkc. Ekvacioj, Ser. Int. 56, No. 1, 121--176 (2013; Zbl 1286.34123) Full Text: DOI arXiv
Lastra, Alberto; Mozo-Fernández, Jorge; Sanz, Javier Strong asymptotic expansions in a multidirection. (English) Zbl 1263.41020 Funkc. Ekvacioj, Ser. Int. 55, No. 2, 317-345 (2012). Reviewer: Aurelian Bejancu (Safat) MSC: 41A60 41A63 40C10 46E15 PDFBibTeX XMLCite \textit{A. Lastra} et al., Funkc. Ekvacioj, Ser. Int. 55, No. 2, 317--345 (2012; Zbl 1263.41020) Full Text: DOI arXiv
Balser, Werner; Yoshino, Masafumi Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients. (English) Zbl 1237.34149 Funkc. Ekvacioj, Ser. Int. 53, No. 3, 411-434 (2010). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M25 34M30 40G10 PDFBibTeX XMLCite \textit{W. Balser} and \textit{M. Yoshino}, Funkc. Ekvacioj, Ser. Int. 53, No. 3, 411--434 (2010; Zbl 1237.34149) Full Text: DOI
Braaksma, B. L. J.; van der Put, M. Singular linear differential equations in two variables. (English) Zbl 1172.35354 Funkc. Ekvacioj, Ser. Int. 51, No. 3, 459-462 (2008). MSC: 35F05 34E05 34M40 PDFBibTeX XMLCite \textit{B. L. J. Braaksma} and \textit{M. van der Put}, Funkc. Ekvacioj, Ser. Int. 51, No. 3, 459--462 (2008; Zbl 1172.35354) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics in time of solutions to nonlinear Schrödinger equations in two space dimensions. (English) Zbl 1185.35020 Funkc. Ekvacioj, Ser. Int. 49, No. 3, 415-425 (2006). MSC: 35B40 35Q55 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Funkc. Ekvacioj, Ser. Int. 49, No. 3, 415--425 (2006; Zbl 1185.35020) Full Text: DOI
Hattori, Tetsuya; Ochiai, Hiroyuki Scaling limit of successive approximations for \(w'=-w^2\). (English) Zbl 1123.34041 Funkc. Ekvacioj, Ser. Int. 49, No. 2, 291-319 (2006). Reviewer: Alexej Timofeev (Syktyvkar) MSC: 34E10 60D05 39B12 PDFBibTeX XMLCite \textit{T. Hattori} and \textit{H. Ochiai}, Funkc. Ekvacioj, Ser. Int. 49, No. 2, 291--319 (2006; Zbl 1123.34041) Full Text: DOI
Fujiwara, Daisuke; Kumano-go, Naoto An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension. (English) Zbl 1113.81091 Funkc. Ekvacioj, Ser. Int. 49, No. 1, 59-86 (2006). MSC: 81S40 58D30 81Q20 35S30 58J37 PDFBibTeX XMLCite \textit{D. Fujiwara} and \textit{N. Kumano-go}, Funkc. Ekvacioj, Ser. Int. 49, No. 1, 59--86 (2006; Zbl 1113.81091) Full Text: DOI
Philos, Ch. G.; Purnaras, I. K. More on the behavior of solutions to linear integrodifferential equations with unbounded delay. (English) Zbl 1113.45011 Funkc. Ekvacioj, Ser. Int. 48, No. 3, 393-414 (2005). MSC: 45M05 45J05 PDFBibTeX XMLCite \textit{Ch. G. Philos} and \textit{I. K. Purnaras}, Funkc. Ekvacioj, Ser. Int. 48, No. 3, 393--414 (2005; Zbl 1113.45011) Full Text: DOI
Hino, Yoshiyuki; Murakami, Satoru Stability properties of linear Volterra integrodifferential equations in a Banach space. (English) Zbl 1113.45013 Funkc. Ekvacioj, Ser. Int. 48, No. 3, 367-392 (2005). MSC: 45M10 45M05 45J05 45M15 45N05 PDFBibTeX XMLCite \textit{Y. Hino} and \textit{S. Murakami}, Funkc. Ekvacioj, Ser. Int. 48, No. 3, 367--392 (2005; Zbl 1113.45013) Full Text: DOI
El-Rabih, Abir Existence of local analytic solutions for systems of difference equations with small step size. (English) Zbl 1125.39017 Funkc. Ekvacioj, Ser. Int. 48, No. 2, 313-330 (2005). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 39A12 39A11 PDFBibTeX XMLCite \textit{A. El-Rabih}, Funkc. Ekvacioj, Ser. Int. 48, No. 2, 313--330 (2005; Zbl 1125.39017) Full Text: DOI
Sibuya, Yasutaka Uniform multisummability and convergence of a power series. (English) Zbl 1222.35057 Funkc. Ekvacioj, Ser. Int. 47, No. 1, 119-127 (2004). MSC: 35C10 34M30 PDFBibTeX XMLCite \textit{Y. Sibuya}, Funkc. Ekvacioj, Ser. Int. 47, No. 1, 119--127 (2004; Zbl 1222.35057) Full Text: DOI
Hayashi, Nakao; Iro, Naoko; Kaikina, Elena I.; Naumkin, Pavel I. Large time behavior od small solutions to Dirichlet problem for Landau-Ginzburg type equations. (English) Zbl 1206.35045 Funkc. Ekvacioj, Ser. Int. 47, No. 3, 479-497 (2004). MSC: 35B40 35Q35 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Funkc. Ekvacioj, Ser. Int. 47, No. 3, 479--497 (2004; Zbl 1206.35045) Full Text: DOI
Iwano, Masahiro Analytical simplification of a nonlinear 2-system with simplified equations involving infinitely many terms. (English) Zbl 1145.34301 Funkc. Ekvacioj, Ser. Int. 44, No. 3, 391-440 (2001). MSC: 34A25 34M30 PDFBibTeX XMLCite \textit{M. Iwano}, Funkc. Ekvacioj, Ser. Int. 44, No. 3, 391--440 (2001; Zbl 1145.34301)
Shimomura, Shun A confluent hypergeometric system associated with \(\Phi_ 3\) and a confluent Jordan-Pochhammer equation. (English) Zbl 1141.33300 Funkc. Ekvacioj, Ser. Int. 42, No. 2, 225-240 (1999). MSC: 33C10 34M30 PDFBibTeX XMLCite \textit{S. Shimomura}, Funkc. Ekvacioj, Ser. Int. 42, No. 2, 225--240 (1999; Zbl 1141.33300)
Iwano, Masahiro A method to construct stable domains of a sectorial type. (English) Zbl 1141.34353 Funkc. Ekvacioj, Ser. Int. 42, No. 1, 71-103 (1999). MSC: 34M30 34A25 PDFBibTeX XMLCite \textit{M. Iwano}, Funkc. Ekvacioj, Ser. Int. 42, No. 1, 71--103 (1999; Zbl 1141.34353)
Došlá, Zuzana; Kiguradze, Ivan On vanishing at infinity solutions of second order linear differential equations with advanced arguments. (English) Zbl 1140.34433 Funkc. Ekvacioj, Ser. Int. 41, No. 2, 189-205 (1998). MSC: 34K25 34E10 PDFBibTeX XMLCite \textit{Z. Došlá} and \textit{I. Kiguradze}, Funkc. Ekvacioj, Ser. Int. 41, No. 2, 189--205 (1998; Zbl 1140.34433)
Zhang, Bo Asymptotic stability criteria and integrability properties of the resolvent of Volterra and functional equations. (English) Zbl 0897.45009 Funkc. Ekvacioj, Ser. Int. 40, No. 3, 335-351 (1997). Reviewer: U.Kosel (Freiberg) MSC: 45J05 45F05 45M10 45M05 PDFBibTeX XMLCite \textit{B. Zhang}, Funkc. Ekvacioj, Ser. Int. 40, No. 3, 335--351 (1997; Zbl 0897.45009)
Burton, T. A.; Furumochi, Tetsuo Periodic and asymptotically periodic solutions of Volterra integral equations. (English) Zbl 0861.45003 Funkc. Ekvacioj, Ser. Int. 39, No. 1, 87-107 (1996). Reviewer: C.Corduneanu (Arlington) MSC: 45G10 45M05 45M15 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{T. Furumochi}, Funkc. Ekvacioj, Ser. Int. 39, No. 1, 87--107 (1996; Zbl 0861.45003)
Gérard, R.; Lutz, D. A.; Schäfke, R. Analytic reduction of some nonlinear difference equations. (English) Zbl 0847.39003 Funkc. Ekvacioj, Ser. Int. 38, No. 3, 381-410 (1995). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 39A10 39A11 PDFBibTeX XMLCite \textit{R. Gérard} et al., Funkc. Ekvacioj, Ser. Int. 38, No. 3, 381--410 (1995; Zbl 0847.39003)
Hara, Tadayuki Exponential asymptotic stability for Volterra integrodifferential equations of nonconvolution type. (English) Zbl 0816.45004 Funkc. Ekvacioj, Ser. Int. 37, No. 2, 373-382 (1994). Reviewer: R.Duduchava (Tbilisi) MSC: 45J05 45M05 45M10 PDFBibTeX XMLCite \textit{T. Hara}, Funkc. Ekvacioj, Ser. Int. 37, No. 2, 373--382 (1994; Zbl 0816.45004)
Kostov, Vladimir The Stokes’ multipliers and the Galois’ group of a non-Fuchsian system and the generalized Phragmen-Lindelöf principle. (English) Zbl 0793.34007 Funkc. Ekvacioj, Ser. Int. 36, No. 2, 329-357 (1993). Reviewer: J.Schmeelk (Richmond) MSC: 34M99 34A30 PDFBibTeX XMLCite \textit{V. Kostov}, Funkc. Ekvacioj, Ser. Int. 36, No. 2, 329--357 (1993; Zbl 0793.34007)
Hara, Tadayuki; Yoneyama, Toshiaki; Itoh, Toshiki Asymptotic stability criteria for nonlinear Volterra integro-differential equations. (English) Zbl 0702.45009 Funkc. Ekvacioj, Ser. Int. 33, No. 1, 39-57 (1990). Reviewer: L.Berg MSC: 45J05 45G15 45M05 45M10 PDFBibTeX XMLCite \textit{T. Hara} et al., Funkc. Ekvacioj, Ser. Int. 33, No. 1, 39--57 (1990; Zbl 0702.45009)
Burton, T. A. Periodic solutions of linear Volterra equations. (English) Zbl 0552.45011 Funkc. Ekvacioj, Ser. Int. 27, 229-253 (1984). Reviewer: O.Staffans MSC: 45J05 45M05 PDFBibTeX XMLCite \textit{T. A. Burton}, Funkc. Ekvacioj, Ser. Int. 27, 229--253 (1984; Zbl 0552.45011)
Saito, Tosiya; Tsukamoto, Ichiro Perturbation method for linear periodic systems. I. (English) Zbl 0548.34057 Funkc. Ekvacioj, Ser. Int. 27, 25-48 (1984). Reviewer: J.Liang MSC: 34E10 34A30 PDFBibTeX XMLCite \textit{T. Saito} and \textit{I. Tsukamoto}, Funkc. Ekvacioj, Ser. Int. 27, 25--48 (1984; Zbl 0548.34057)
Karakostas, G. Convergence of the bounded solutions of a certain implicit Volterra integral equation. (English) Zbl 0479.45005 Funkc. Ekvacioj, Ser. Int. 24, 351-361 (1981). MSC: 45G10 45M05 PDFBibTeX XMLCite \textit{G. Karakostas}, Funkc. Ekvacioj, Ser. Int. 24, 351--361 (1981; Zbl 0479.45005)
Niijima, Koichi Numerical computation of solutions of two-point boundary value problems with a boundary layer. (English) Zbl 0449.65056 Funkc. Ekvacioj, Ser. Int. 23, 207-219 (1980). MSC: 65L10 76D10 34B05 34E10 PDFBibTeX XMLCite \textit{K. Niijima}, Funkc. Ekvacioj, Ser. Int. 23, 207--219 (1980; Zbl 0449.65056)
van Dooren, Rene An analytical method for certain highly nonlinear periodic differential equations. (English) Zbl 0311.34055 Funkc. Ekvacioj, Ser. Int. 16, 169-180 (1973). MSC: 34C25 34E10 34C30 PDFBibTeX XMLCite \textit{R. van Dooren}, Funkc. Ekvacioj, Ser. Int. 16, 169--180 (1973; Zbl 0311.34055)
Lutz, Donald A. Perturbations of matrix differential equations in the neighborhood of a singular point. (English) Zbl 0257.34060 Funkc. Ekvacioj, Ser. Int. 13, 97-107 (1970). MSC: 34A30 34E10 PDFBibTeX XMLCite \textit{D. A. Lutz}, Funkc. Ekvacioj, Ser. Int. 13, 97--107 (1970; Zbl 0257.34060)
Sibuya, Yasutaka Perturbation of linear ordinary differential equations at irregular singular points. (English) Zbl 0228.34036 Funkc. Ekvacioj, Ser. Int. 11, 235-246 (1969). MSC: 34E10 34A30 PDFBibTeX XMLCite \textit{Y. Sibuya}, Funkc. Ekvacioj, Ser. Int. 11, 235--246 (1969; Zbl 0228.34036)