Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten Relative oscillation theory and essential spectra of Sturm-Liouville operators. (English) Zbl 07601349 J. Math. Anal. Appl. 518, No. 1, Article ID 126673, 15 p. (2023). Reviewer: Seyfollah Mosazadeh (Kashan) MSC: 34B24 34C10 34L05 47E05 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Math. Anal. Appl. 518, No. 1, Article ID 126673, 15 p. (2023; Zbl 07601349) Full Text: DOI arXiv OpenURL
Hasil, Petr; Šišoláková, Jiřina; Veselý, Michal Oscillation of modified Euler type half-linear differential equations via averaging technique. (English) Zbl 1493.34110 Electron. J. Differ. Equ. 2022, Paper No. 41, 16 p. (2022). MSC: 34C10 34C15 PDF BibTeX XML Cite \textit{P. Hasil} et al., Electron. J. Differ. Equ. 2022, Paper No. 41, 16 p. (2022; Zbl 1493.34110) Full Text: Link OpenURL
Šišoláková, Jiřina Non-oscillation of modified Euler type linear and half-linear differential equations. (English) Zbl 1502.34044 Eur. J. Math. 8, No. 2, 700-721 (2022). Reviewer: Gevorg A. Grigorian (Yerevan) MSC: 34C10 PDF BibTeX XML Cite \textit{J. Šišoláková}, Eur. J. Math. 8, No. 2, 700--721 (2022; Zbl 1502.34044) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions. (English) Zbl 1465.34044 J. Math. Anal. Appl. 494, No. 1, Article ID 124585, 22 p. (2021). Reviewer: Cemil Tunç (Van) MSC: 34C10 34A30 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, J. Math. Anal. Appl. 494, No. 1, Article ID 124585, 22 p. (2021; Zbl 1465.34044) Full Text: DOI OpenURL
Aljawi, Salma; Marletta, Marco On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators. (English) Zbl 1459.65045 Numer. Algorithms 86, No. 2, 637-657 (2021). MSC: 65F15 15A18 34L40 PDF BibTeX XML Cite \textit{S. Aljawi} and \textit{M. Marletta}, Numer. Algorithms 86, No. 2, 637--657 (2021; Zbl 1459.65045) Full Text: DOI OpenURL
Exner, Pavel Leaky quantum structures. (English. Russian original) Zbl 1457.81041 Proc. Steklov Inst. Math. 311, 114-128 (2020); translation from Tr. Mat. Inst. Steklova 311, 123-139 (2020). MSC: 81Q10 46F10 81Q35 47A58 14B07 81Q70 35P05 PDF BibTeX XML Cite \textit{P. Exner}, Proc. Steklov Inst. Math. 311, 114--128 (2020; Zbl 1457.81041); translation from Tr. Mat. Inst. Steklova 311, 123--139 (2020) Full Text: DOI OpenURL
Došlá, Zuzana; Hasil, Petr; Matucci, Serena; Veselý, Michal Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case. (English) Zbl 1499.34230 J. Inequal. Appl. 2019, Paper No. 189, 30 p. (2019). MSC: 34C10 34A30 PDF BibTeX XML Cite \textit{Z. Došlá} et al., J. Inequal. Appl. 2019, Paper No. 189, 30 p. (2019; Zbl 1499.34230) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations. (English) Zbl 1428.34042 Appl. Math. Comput. 361, 788-809 (2019). MSC: 34C10 34C15 34C60 65L99 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, Appl. Math. Comput. 361, 788--809 (2019; Zbl 1428.34042) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal Prüfer angle and non-oscillation of linear equations with quasiperiodic data. (English) Zbl 1421.34024 Monatsh. Math. 189, No. 1, 101-124 (2019). Reviewer: Abdullah Özbekler (Ankara) MSC: 34C10 34A30 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, Monatsh. Math. 189, No. 1, 101--124 (2019; Zbl 1421.34024) Full Text: DOI OpenURL
Muchatibaya, Gift; Mushanyu, Josiah A note on the asymptotic and threshold behaviour of discrete eigenvalues inside the spectral gaps of the difference operator with a periodic potential. (English) Zbl 1403.39015 Adv. Math. Phys. 2018, Article ID 4696790, 5 p. (2018). MSC: 39A60 39A30 PDF BibTeX XML Cite \textit{G. Muchatibaya} and \textit{J. Mushanyu}, Adv. Math. Phys. 2018, Article ID 4696790, 5 p. (2018; Zbl 1403.39015) Full Text: DOI OpenURL
Exner, P.; Kondej, S. Aharonov and Bohm versus Welsh eigenvalues. (English) Zbl 1396.81090 Lett. Math. Phys. 108, No. 9, 2153-2167 (2018). MSC: 81Q10 35J10 81Q70 PDF BibTeX XML Cite \textit{P. Exner} and \textit{S. Kondej}, Lett. Math. Phys. 108, No. 9, 2153--2167 (2018; Zbl 1396.81090) Full Text: DOI arXiv OpenURL
Hasil, P.; Juránek, J.; Veselý, M. Adapted Riccati technique and non-oscillation of linear and half-linear equations. (English) Zbl 1392.34031 Appl. Math. Lett. 82, 98-105 (2018). MSC: 34C10 34D05 PDF BibTeX XML Cite \textit{P. Hasil} et al., Appl. Math. Lett. 82, 98--105 (2018; Zbl 1392.34031) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal Oscillation and non-oscillation criteria for linear and half-linear difference equations. (English) Zbl 1372.39015 J. Math. Anal. Appl. 452, No. 1, 401-428 (2017). MSC: 39A21 39A06 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, J. Math. Anal. Appl. 452, No. 1, 401--428 (2017; Zbl 1372.39015) Full Text: DOI OpenURL
Misir, Adil; Mermerkaya, Banu Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients. (English) Zbl 1367.34034 Open Math. 15, 548-561 (2017). MSC: 34C10 34C20 PDF BibTeX XML Cite \textit{A. Misir} and \textit{B. Mermerkaya}, Open Math. 15, 548--561 (2017; Zbl 1367.34034) Full Text: DOI OpenURL
Došlý, O.; Jaroš, J.; Veselý, M. Generalized Prüfer angle and oscillation of half-linear differential equations. (English) Zbl 1358.34039 Appl. Math. Lett. 64, 34-41 (2017). Reviewer: Sylvia Novo (Valladolid) MSC: 34C10 PDF BibTeX XML Cite \textit{O. Došlý} et al., Appl. Math. Lett. 64, 34--41 (2017; Zbl 1358.34039) Full Text: DOI OpenURL
Lukic, Milivoje; Ong, Darren C. Generalized Prüfer variables for perturbations of Jacobi and CMV matrices. (English) Zbl 1353.47062 J. Math. Anal. Appl. 444, No. 2, 1490-1514 (2016). MSC: 47B36 PDF BibTeX XML Cite \textit{M. Lukic} and \textit{D. C. Ong}, J. Math. Anal. Appl. 444, No. 2, 1490--1514 (2016; Zbl 1353.47062) Full Text: DOI arXiv OpenURL
Hinchcliffe, James; Strauss, Michael Spectral enclosure and superconvergence for eigenvalues in gaps. (English) Zbl 1331.47008 Integral Equations Oper. Theory 84, No. 1, 1-32 (2016). MSC: 47A10 47A55 47A58 47A75 PDF BibTeX XML Cite \textit{J. Hinchcliffe} and \textit{M. Strauss}, Integral Equations Oper. Theory 84, No. 1, 1--32 (2016; Zbl 1331.47008) Full Text: DOI arXiv OpenURL
Hasil, Petr; Veselý, Michal Oscillation constants for half-linear difference equations with coefficients having mean values. (English) Zbl 1422.39011 Adv. Difference Equ. 2015, Paper No. 210, 18 p. (2015). MSC: 39A10 39A21 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, Adv. Difference Equ. 2015, Paper No. 210, 18 p. (2015; Zbl 1422.39011) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients. (English) Zbl 1422.34123 Adv. Difference Equ. 2015, Paper No. 190, 17 p. (2015). MSC: 34C10 34C15 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, Adv. Difference Equ. 2015, Paper No. 190, 17 p. (2015; Zbl 1422.34123) Full Text: DOI OpenURL
Došlý, Ondřej; Veselý, Michal Oscillation and non-oscillation of Euler type half-linear differential equations. (English) Zbl 1337.34035 J. Math. Anal. Appl. 429, No. 1, 602-621 (2015). Reviewer: Robert Mařík (Brno) MSC: 34C10 42A75 PDF BibTeX XML Cite \textit{O. Došlý} and \textit{M. Veselý}, J. Math. Anal. Appl. 429, No. 1, 602--621 (2015; Zbl 1337.34035) Full Text: DOI OpenURL
Hasil, Petr; Mařík, Robert; Veselý, Michal Conditional oscillation of half-linear differential equations with coefficients having mean values. (English) Zbl 1476.34090 Abstr. Appl. Anal. 2014, Article ID 258159, 14 p. (2014). MSC: 34C10 37C60 PDF BibTeX XML Cite \textit{P. Hasil} et al., Abstr. Appl. Anal. 2014, Article ID 258159, 14 p. (2014; Zbl 1476.34090) Full Text: DOI OpenURL
Vítovec, Jiří Critical oscillation constant for Euler-type dynamic equations on time scales. (English) Zbl 1335.34147 Appl. Math. Comput. 243, 838-848 (2014). MSC: 34N05 34C10 PDF BibTeX XML Cite \textit{J. Vítovec}, Appl. Math. Comput. 243, 838--848 (2014; Zbl 1335.34147) Full Text: DOI OpenURL
Došlý, Ondřej; Funková, Hana Euler type half-linear differential equation with periodic coefficients. (English) Zbl 1470.34097 Abstr. Appl. Anal. 2013, Article ID 714263, 6 p. (2013). MSC: 34C10 34C15 34D10 PDF BibTeX XML Cite \textit{O. Došlý} and \textit{H. Funková}, Abstr. Appl. Anal. 2013, Article ID 714263, 6 p. (2013; Zbl 1470.34097) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal Oscillation of half-linear differential equations with asymptotically almost periodic coefficients. (English) Zbl 1380.34052 Adv. Difference Equ. 2013, Paper No. 122, 15 p. (2013). MSC: 34C10 34C15 34C27 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, Adv. Difference Equ. 2013, Paper No. 122, 15 p. (2013; Zbl 1380.34052) Full Text: DOI OpenURL
Veselý, Michal; Hasil, Petr Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations. (English) Zbl 1291.39035 Abstr. Appl. Anal. 2013, Article ID 432936, 12 p. (2013). MSC: 39A21 PDF BibTeX XML Cite \textit{M. Veselý} and \textit{P. Hasil}, Abstr. Appl. Anal. 2013, Article ID 432936, 12 p. (2013; Zbl 1291.39035) Full Text: DOI OpenURL
Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T. Eigenvalue excluding for perturbed-periodic one-dimensional Schrödinger operators. (English) Zbl 1364.34124 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2138, 545-562 (2012). MSC: 34L40 PDF BibTeX XML Cite \textit{K. Nagatou} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2138, 545--562 (2012; Zbl 1364.34124) Full Text: DOI OpenURL
Zemánek, Petr Rofe-Beketov formula for symplectic systems. (English) Zbl 1347.34142 Adv. Difference Equ. 2012, Paper No. 104, 9 p. (2012). MSC: 34N05 34B24 37J15 34A05 PDF BibTeX XML Cite \textit{P. Zemánek}, Adv. Difference Equ. 2012, Paper No. 104, 9 p. (2012; Zbl 1347.34142) Full Text: DOI OpenURL
Hasil, Petr; Veselý, Michal Critical oscillation constant for difference equations with almost periodic coefficients. (English) Zbl 1253.39006 Abstr. Appl. Anal. 2012, Article ID 471435, 19 p. (2012). MSC: 39A12 39A21 PDF BibTeX XML Cite \textit{P. Hasil} and \textit{M. Veselý}, Abstr. Appl. Anal. 2012, Article ID 471435, 19 p. (2012; Zbl 1253.39006) Full Text: DOI OpenURL
Marletta, Marco; Scheichl, Rob Eigenvalues in spectral gaps of differential operators. (English) Zbl 1256.65079 J. Spectr. Theory 2, No. 3, 293-320 (2012). Reviewer: Kevin Burrage (Brisbane) MSC: 65L15 34L40 PDF BibTeX XML Cite \textit{M. Marletta} and \textit{R. Scheichl}, J. Spectr. Theory 2, No. 3, 293--320 (2012; Zbl 1256.65079) Full Text: DOI OpenURL
Došlý, Ondřej; Hasil, Petr Critical oscillation constant for half-linear differential equations with periodic coefficients. (English) Zbl 1231.34059 Ann. Mat. Pura Appl. (4) 190, No. 3, 395-408 (2011). Reviewer: Jozef Dzurina (Košice) MSC: 34C10 PDF BibTeX XML Cite \textit{O. Došlý} and \textit{P. Hasil}, Ann. Mat. Pura Appl. (4) 190, No. 3, 395--408 (2011; Zbl 1231.34059) Full Text: DOI OpenURL
Došlý, Ondřej Rofe-Beketov’s formula on time scales. (English) Zbl 1205.34129 Comput. Math. Appl. 60, No. 8, 2382-2386 (2010). MSC: 34N05 34A05 PDF BibTeX XML Cite \textit{O. Došlý}, Comput. Math. Appl. 60, No. 8, 2382--2386 (2010; Zbl 1205.34129) Full Text: DOI OpenURL
Krüger, Helge On perturbations of quasiperiodic Schrödinger operators. (English) Zbl 1214.34077 J. Differ. Equations 249, No. 6, 1305-1321 (2010). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L05 34C10 34B24 34L20 34L40 47E05 PDF BibTeX XML Cite \textit{H. Krüger}, J. Differ. Equations 249, No. 6, 1305--1321 (2010; Zbl 1214.34077) Full Text: DOI arXiv OpenURL
Stadler, Robert; Teschl, Gerald Relative oscillation theory for Dirac operators. (English) Zbl 1205.47006 J. Math. Anal. Appl. 371, No. 2, 638-648 (2010). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 47A10 34C10 34L40 81Q10 PDF BibTeX XML Cite \textit{R. Stadler} and \textit{G. Teschl}, J. Math. Anal. Appl. 371, No. 2, 638--648 (2010; Zbl 1205.47006) Full Text: DOI arXiv OpenURL
Krüger, Helge; Teschl, Gerald Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function. (English) Zbl 1186.47009 Commun. Math. Phys. 287, No. 2, 613-640 (2009). Reviewer: Denis A. White (Toledo) MSC: 47A55 47E05 34L05 34C10 34B24 47A10 34D10 PDF BibTeX XML Cite \textit{H. Krüger} and \textit{G. Teschl}, Commun. Math. Phys. 287, No. 2, 613--640 (2009; Zbl 1186.47009) Full Text: DOI arXiv OpenURL
Krüger, Helge; Teschl, Gerald Effective Prüfer angles and relative oscillation criteria. (English) Zbl 1167.34009 J. Differ. Equations 245, No. 12, 3823-3848 (2008). Reviewer: Qingkai Kong (DeKalb) MSC: 34C10 34L05 PDF BibTeX XML Cite \textit{H. Krüger} and \textit{G. Teschl}, J. Differ. Equations 245, No. 12, 3823--3848 (2008; Zbl 1167.34009) Full Text: DOI arXiv OpenURL
Damanik, David; Teschl, Gerald Bound states of discrete Schrödinger operators with super-critical inverse square potentials. (English) Zbl 1110.47019 Proc. Am. Math. Soc. 135, No. 4, 1123-1127 (2007). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47B36 81Q10 39A11 47B39 47N50 PDF BibTeX XML Cite \textit{D. Damanik} and \textit{G. Teschl}, Proc. Am. Math. Soc. 135, No. 4, 1123--1127 (2007; Zbl 1110.47019) Full Text: DOI arXiv OpenURL
Aceto, L.; Ghelardoni, P.; Marletta, M. Numerical computation of eigenvalues in spectral gaps of Sturm-Liouville operators. (English) Zbl 1104.65080 J. Comput. Appl. Math. 189, No. 1-2, 453-470 (2006). Reviewer: Ludwig Elsner (Bielefeld) MSC: 65L15 34L16 65L10 34B24 PDF BibTeX XML Cite \textit{L. Aceto} et al., J. Comput. Appl. Math. 189, No. 1--2, 453--470 (2006; Zbl 1104.65080) Full Text: DOI OpenURL
Schmidt, Karl Michael Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit. (English) Zbl 1027.81008 Proc. Am. Math. Soc. 131, No. 4, 1205-1214 (2003). Reviewer: J.B.Butler jun.(Portland) MSC: 81Q10 81Q15 34L40 47E05 PDF BibTeX XML Cite \textit{K. M. Schmidt}, Proc. Am. Math. Soc. 131, No. 4, 1205--1214 (2003; Zbl 1027.81008) Full Text: DOI arXiv OpenURL
Schmidt, Karl Michael Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence. (English) Zbl 1019.65057 J. Comput. Appl. Math. 148, No. 1, 169-181 (2002). Reviewer: Werner M.Seiler (Heidelberg) MSC: 65L15 34L16 34L40 PDF BibTeX XML Cite \textit{K. M. Schmidt}, J. Comput. Appl. Math. 148, No. 1, 169--181 (2002; Zbl 1019.65057) Full Text: DOI OpenURL
Hinz, Andreas M. The extraordinary spectral properties of radially periodic Schrödinger operators. (English) Zbl 1193.35020 Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 85-98 (2002). MSC: 35J10 PDF BibTeX XML Cite \textit{A. M. Hinz}, Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 85--98 (2002; Zbl 1193.35020) Full Text: DOI OpenURL
Schmidt, Karl Michael Relative oscillation – non-oscillation criteria for perturbed periodic Dirac systems. (English) Zbl 0977.34076 J. Math. Anal. Appl. 246, No. 2, 591-607 (2000). Reviewer: Satyanad Kichenassamy (Reims) MSC: 34L40 35Q40 35P15 81Q10 81Q05 PDF BibTeX XML Cite \textit{K. M. Schmidt}, J. Math. Anal. Appl. 246, No. 2, 591--607 (2000; Zbl 0977.34076) Full Text: DOI OpenURL