Yang, Lu; Wei, Guangsheng; Pivovarchik, Vyacheslav Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex. (English) Zbl 1471.34057 Inverse Probl. Imaging 15, No. 2, 257-270 (2021). MSC: 34B45 34A55 34L05 34L15 05C50 PDFBibTeX XMLCite \textit{L. Yang} et al., Inverse Probl. Imaging 15, No. 2, 257--270 (2021; Zbl 1471.34057) Full Text: DOI
Boyko, Olga; Martynyuk, Olga; Pivovarchik, Vyacheslav Ambarzumian theorem for non-selfadjoint boundary value problems. (English) Zbl 1399.34276 J. Oper. Theory 79, No. 1, 213-223 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 34L15 34B24 34L20 PDFBibTeX XMLCite \textit{O. Boyko} et al., J. Oper. Theory 79, No. 1, 213--223 (2018; Zbl 1399.34276)
Boĭko, O. P.; Martinyuk, O. M.; Pivovarchik, V. M. On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs. (English. Ukrainian original) Zbl 1498.39003 Ukr. Math. J. 69, No. 4, 521-533 (2017); translation from Ukr. Mat. Zh. 69, No. 4, 445-455 (2017). MSC: 39A12 34B45 34L15 35R02 81Q10 PDFBibTeX XMLCite \textit{O. P. Boĭko} et al., Ukr. Math. J. 69, No. 4, 521--533 (2017; Zbl 1498.39003); translation from Ukr. Mat. Zh. 69, No. 4, 445--455 (2017) Full Text: DOI
Boyko, Olga; Martinyuk, Olga; Pivovarchik, Vyacheslav Higher order Nevanlinna functions and the inverse three spectra problem. (English) Zbl 1365.34031 Opusc. Math. 36, No. 3, 301-314 (2016). Reviewer: Baki Keskın (Sivas) MSC: 34A55 34B24 34L15 PDFBibTeX XMLCite \textit{O. Boyko} et al., Opusc. Math. 36, No. 3, 301--314 (2016; Zbl 1365.34031) Full Text: DOI
Boyko, Olga; Pivovarchik, Vyacheslav On small vibrations of a damped Stieltjes string. (English) Zbl 1332.34029 Opusc. Math. 35, No. 2, 143-159 (2015). MSC: 34A55 34B09 34L15 PDFBibTeX XMLCite \textit{O. Boyko} and \textit{V. Pivovarchik}, Opusc. Math. 35, No. 2, 143--159 (2015; Zbl 1332.34029) Full Text: DOI
Martynyuk, O. M.; Pivovarchik, V. N. Finite dimensional four spectra inverse problem. (Russian. English summary) Zbl 1307.34030 Mat. Stud. 41, No. 1, 74-80 (2014). MSC: 34A55 34L15 34B24 PDFBibTeX XMLCite \textit{O. M. Martynyuk} and \textit{V. N. Pivovarchik}, Mat. Stud. 41, No. 1, 74--80 (2014; Zbl 1307.34030)
Pivovarchik, V.; Taystruk, O. On characteristic functions of operators on equilateral graphs. (English) Zbl 1265.34114 Methods Funct. Anal. Topol. 18, No. 2, 189-197 (2012). Reviewer: A. N. Kochubei (Kyïv) MSC: 34B45 34B24 34A55 34L15 PDFBibTeX XMLCite \textit{V. Pivovarchik} and \textit{O. Taystruk}, Methods Funct. Anal. Topol. 18, No. 2, 189--197 (2012; Zbl 1265.34114)
Martinyuk, O.; Pivovarchik, V. Spectral problem for figure-of-eight graph of Stieltjes strings. (English) Zbl 1224.34094 Methods Funct. Anal. Topol. 16, No. 4, 349-358 (2010). Reviewer: A. N. Kochubei (Kyïv) MSC: 34B45 34L15 PDFBibTeX XMLCite \textit{O. Martinyuk} and \textit{V. Pivovarchik}, Methods Funct. Anal. Topol. 16, No. 4, 349--358 (2010; Zbl 1224.34094)
van der Mee, Cornelis; Pivovarchik, Vjacheslav Some properties of the eigenvalues of a Schrödinger equation with energy-dependent potential. (English) Zbl 1054.34136 Weder, Ricardo (ed.) et al., Mathematical results in quantum mechanics. A conference on QMATH-8, Univ. Nacional Autónoma de México, Taxco, México, December 10–14, 2001. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2900-9). Contemp. Math. 307, 305-310 (2002). MSC: 34L15 34L40 PDFBibTeX XMLCite \textit{C. van der Mee} and \textit{V. Pivovarchik}, Contemp. Math. 307, 305--310 (2002; Zbl 1054.34136)
Pivovarchik, V. N. On the number of eigenvalues of the spectral problem associated with Klein-Gordon equation. (English) Zbl 0725.34100 Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 401-402 (1989). MSC: 34L40 34L15 81Q05 PDFBibTeX XML