Belinskiy, Boris P.; Smith, Tanner A. Optimal mass of structure with motion described by Sturm-Liouville operator: design and predesign. (English) Zbl 07823661 Electron. J. Differ. Equ. 2024, Paper No. 8, 19 p. (2024). MSC: 34L15 74P05 49K15 49S05 49R05 PDFBibTeX XMLCite \textit{B. P. Belinskiy} and \textit{T. A. Smith}, Electron. J. Differ. Equ. 2024, Paper No. 8, 19 p. (2024; Zbl 07823661) Full Text: Link
Dou, Yaru; Han, Jieyu; Meng, Gang On the isospectral problem of the Camassa-Holm equation. (English) Zbl 1525.34121 Arch. Math. 121, No. 1, 67-76 (2023). Reviewer: Manfred Möller (Johannesburg) MSC: 34L15 49K15 34B24 PDFBibTeX XMLCite \textit{Y. Dou} et al., Arch. Math. 121, No. 1, 67--76 (2023; Zbl 1525.34121) Full Text: DOI
Huang, Fenglin; Chen, Yanping; Lin, Tingting An error estimator for spectral method approximation of flow control with state constraint. (English) Zbl 07676875 Electron. Res. Arch. 30, No. 9, 3193-3210 (2022). MSC: 65Mxx 49-XX PDFBibTeX XMLCite \textit{F. Huang} et al., Electron. Res. Arch. 30, No. 9, 3193--3210 (2022; Zbl 07676875) Full Text: DOI
Hoppe, Jens; Moosavi, Per Stability of the classical catenoid and Darboux-Pöschl-Teller potentials. (English) Zbl 1517.81046 Math. Phys. Anal. Geom. 25, No. 4, Paper No. 28, 12 p. (2022). MSC: 81Q05 34L40 49Q05 34L15 PDFBibTeX XMLCite \textit{J. Hoppe} and \textit{P. Moosavi}, Math. Phys. Anal. Geom. 25, No. 4, Paper No. 28, 12 p. (2022; Zbl 1517.81046) Full Text: DOI arXiv
Zhu, Dongmei; Zheng, Harry Effective approximation methods for constrained utility maximization with drift uncertainty. (English) Zbl 1492.91137 J. Optim. Theory Appl. 194, No. 1, 191-219 (2022). MSC: 91B16 93E20 49M29 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{H. Zheng}, J. Optim. Theory Appl. 194, No. 1, 191--219 (2022; Zbl 1492.91137) Full Text: DOI
Ambrozio, Lucas; Buzano, Reto; Carlotto, Alessandro; Sharp, Ben Geometric convergence results for closed minimal surfaces via bubbling analysis. (English) Zbl 1486.53015 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 25, 16 p. (2022). MSC: 53A10 53C42 49Q05 PDFBibTeX XMLCite \textit{L. Ambrozio} et al., Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 25, 16 p. (2022; Zbl 1486.53015) Full Text: DOI arXiv
Sturm, Karl-Theodor Remarks about synthetic upper Ricci bounds for metric measure spaces. (English) Zbl 1486.53055 Tohoku Math. J. (2) 73, No. 4, 539-564 (2021). MSC: 53C23 49Q20 PDFBibTeX XMLCite \textit{K.-T. Sturm}, Tôhoku Math. J. (2) 73, No. 4, 539--564 (2021; Zbl 1486.53055) Full Text: DOI arXiv
Wen, Zhiyuan On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem. (English) Zbl 1486.34004 J. Differ. Equations 286, 710-730 (2021). Reviewer: Bianca-Renata Satco (Suceava) MSC: 34A06 34B09 49R05 34L15 PDFBibTeX XMLCite \textit{Z. Wen}, J. Differ. Equations 286, 710--730 (2021; Zbl 1486.34004) Full Text: DOI
Kerner, Joachim; Yatsyna, Pavlo On the spectral gap of the path graph in the limit of large volume. arXiv:2106.08910 Preprint, arXiv:2106.08910 [math.SP] (2021). MSC: 34L15 05C38 15A18 49R50 BibTeX Cite \textit{J. Kerner} and \textit{P. Yatsyna}, ``On the spectral gap of the path graph in the limit of large volume'', Preprint, arXiv:2106.08910 [math.SP] (2021) Full Text: arXiv OA License
Wen, Zhiyuan; Zhang, Meirong On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures. (English) Zbl 1445.34005 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3257-3274 (2020). MSC: 34A06 34L05 34L15 49K15 PDFBibTeX XMLCite \textit{Z. Wen} and \textit{M. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3257--3274 (2020; Zbl 1445.34005) Full Text: DOI
Marmorino, M. G. Upper and lower bounds to atomic radial position moments. (English) Zbl 1433.81167 J. Math. Chem. 58, No. 1, 88-113 (2020). MSC: 81V55 35P15 49J40 81V45 PDFBibTeX XMLCite \textit{M. G. Marmorino}, J. Math. Chem. 58, No. 1, 88--113 (2020; Zbl 1433.81167) Full Text: DOI
Hung, Nguyen Van; O’Regan, Donal Bilevel equilibrium problems with lower and upper bounds in locally convex Hausdorff topological vector spaces. (English) Zbl 1427.90249 Topology Appl. 269, Article ID 106939, 13 p. (2020). MSC: 90C29 47J20 49J40 PDFBibTeX XMLCite \textit{N. Van Hung} and \textit{D. O'Regan}, Topology Appl. 269, Article ID 106939, 13 p. (2020; Zbl 1427.90249) Full Text: DOI
Ma, Jingtang; Li, Wenyuan; Zheng, Harry Dual control Monte-Carlo method for tight bounds of value function under Heston stochastic volatility model. (English) Zbl 1431.91367 Eur. J. Oper. Res. 280, No. 2, 428-440 (2020). MSC: 91G10 49L20 60H30 65C05 91B70 93E20 PDFBibTeX XMLCite \textit{J. Ma} et al., Eur. J. Oper. Res. 280, No. 2, 428--440 (2020; Zbl 1431.91367) Full Text: DOI arXiv
Kloeckner, Benoît R.; Kuperberg, Greg The Cartan-Hadamard conjecture and the little prince. (English) Zbl 1460.53039 Rev. Mat. Iberoam. 35, No. 4, 1195-1258 (2019). Reviewer: Antonio Masiello (Bari) MSC: 53C20 90C46 49Q10 PDFBibTeX XMLCite \textit{B. R. Kloeckner} and \textit{G. Kuperberg}, Rev. Mat. Iberoam. 35, No. 4, 1195--1258 (2019; Zbl 1460.53039) Full Text: DOI arXiv
Guo, Shuyuan; Xu, Guixin; Zhang, Meirong On the second-order Fréchet derivatives of eigenvalues of Sturm-Liouville problems in potentials. (English) Zbl 1431.34089 Arch. Math. 113, No. 3, 301-312 (2019). Reviewer: Smail Djebali (Algiers) MSC: 34L15 34B24 34L10 49J50 PDFBibTeX XMLCite \textit{S. Guo} et al., Arch. Math. 113, No. 3, 301--312 (2019; Zbl 1431.34089) Full Text: DOI arXiv
Mohammadi, Seyyed Abbas; Bozorgnia, Farid; Voss, Heinrich Optimal shape design for the \(p\)-Laplacian eigenvalue problem. (English) Zbl 1414.35136 J. Sci. Comput. 78, No. 2, 1231-1249 (2019). MSC: 35P30 34L15 34L16 49M37 PDFBibTeX XMLCite \textit{S. A. Mohammadi} et al., J. Sci. Comput. 78, No. 2, 1231--1249 (2019; Zbl 1414.35136) Full Text: DOI
Belinskiy, Boris P.; Kotval, David H. Optimal design of minimum mass structures for a generalized Sturm-Liouville problem on an interval and a metric graph. (English) Zbl 1457.49027 Electron. J. Differ. Equ. 2018, Paper No. 119, 18 p. (2018). MSC: 49N99 49S05 34L15 74P05 34B24 05C90 PDFBibTeX XMLCite \textit{B. P. Belinskiy} and \textit{D. H. Kotval}, Electron. J. Differ. Equ. 2018, Paper No. 119, 18 p. (2018; Zbl 1457.49027) Full Text: Link
Karabash, Ilya M.; Logacheva, Olga M.; Verbytskyi, Ievgen V. Overdamped modes and optimization of resonances in layered cavities. (English) Zbl 1399.49024 Methods Funct. Anal. Topol. 23, No. 3, 252-260 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 49R05 35B34 70J10 34L15 PDFBibTeX XMLCite \textit{I. M. Karabash} et al., Methods Funct. Anal. Topol. 23, No. 3, 252--260 (2017; Zbl 1399.49024) Full Text: Link
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick Optimal location of resources for biased movement of species: the 1D case. (English) Zbl 1378.49055 SIAM J. Appl. Math. 77, No. 6, 1876-1903 (2017). MSC: 49R05 49J15 49K20 34B09 34L15 49J30 92D25 PDFBibTeX XMLCite \textit{F. Caubet} et al., SIAM J. Appl. Math. 77, No. 6, 1876--1903 (2017; Zbl 1378.49055) Full Text: DOI arXiv
Laugesen, Richard S.; Siudeja, Bartłomiej A. Triangles and other special domains. (English) Zbl 1376.49055 Henrot, Antoine (ed.), Shape optimization and spectral theory. Berlin: De Gruyter (ISBN 978-3-11-055085-6/hbk; 978-3-11-055088-7/ebook). 149-200 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q10 35P15 35J05 PDFBibTeX XMLCite \textit{R. S. Laugesen} and \textit{B. A. Siudeja}, in: Shape optimization and spectral theory. Berlin: De Gruyter. 149--200 (2017; Zbl 1376.49055) Full Text: DOI
Karabash, Illya M.; Logachova, Olga M.; Verbytskyi, Ievgen V. Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities. (English) Zbl 1376.34022 Integral Equations Oper. Theory 88, No. 1, 15-44 (2017). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B09 47B44 49R05 70J10 47J10 34L15 PDFBibTeX XMLCite \textit{I. M. Karabash} et al., Integral Equations Oper. Theory 88, No. 1, 15--44 (2017; Zbl 1376.34022) Full Text: DOI arXiv
Rautmann, R. Decomposition of the homogeneous space \(\hat{W}^{1,2}\) with respect to the Dirichlet form \(\langle\nabla u,\nabla v\rangle\) and applications. (English) Zbl 1358.35097 Rădulescu, Vicenţiu D. (ed.) et al., Recent advances in partial differential equations and applications. International conference in honor of Hugo Beirão de Veiga’s 70th birthday, Levico Terme, Italy, February 17–21, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1521-1/pbk; 978-1-4704-3471-7/ebook). Contemporary Mathematics 666, 279-288 (2016). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q30 49K20 49K35 76D05 76D07 76M25 PDFBibTeX XMLCite \textit{R. Rautmann}, Contemp. Math. 666, 279--288 (2016; Zbl 1358.35097) Full Text: DOI
Meng, Gang; Yan, Ping Optimal lower bound for the first eigenvalue of the fourth order equation. (English) Zbl 1360.34170 J. Differ. Equations 261, No. 6, 3149-3168 (2016). Reviewer: Chie-Ping Chu (Taipei) MSC: 34L15 34B09 49K35 PDFBibTeX XMLCite \textit{G. Meng} and \textit{P. Yan}, J. Differ. Equations 261, No. 6, 3149--3168 (2016; Zbl 1360.34170) Full Text: DOI
Wen, ZhiYuan; Zhang, MeiRong Minimization of eigenvalues and construction of non-degenerate potentials for the one-dimensional \(p\)-Laplacian. (English) Zbl 1350.34066 Sci. China, Math. 59, No. 1, 49-66 (2016). Reviewer: Antonio Cañada Villar (Granada) MSC: 34L15 49R05 34B15 PDFBibTeX XMLCite \textit{Z. Wen} and \textit{M. Zhang}, Sci. China, Math. 59, No. 1, 49--66 (2016; Zbl 1350.34066) Full Text: DOI
Angulo, Alejandro; Espinoza, Daniel; Palma, Rodrigo Sequence independent lifting for mixed knapsack problems with GUB constraints. (English) Zbl 1327.90123 Math. Program. 154, No. 1-2 (B), 55-80 (2015). MSC: 90C11 90C57 65K05 49M30 PDFBibTeX XMLCite \textit{A. Angulo} et al., Math. Program. 154, No. 1--2 (B), 55--80 (2015; Zbl 1327.90123) Full Text: DOI Link
Tel’nova, M. Yu. Minimization problem for a functional generated by a Sturm-Liouville problem with weighted integral condition. (English. Russian original) Zbl 1318.49005 Differ. Equ. 50, No. 12, 1688-1689 (2014); translation from Differ. Uravn. 50, No. 12, 1683-1684 (2014). MSC: 49J15 34B24 34L15 PDFBibTeX XMLCite \textit{M. Yu. Tel'nova}, Differ. Equ. 50, No. 12, 1688--1689 (2014; Zbl 1318.49005); translation from Differ. Uravn. 50, No. 12, 1683--1684 (2014) Full Text: DOI
Karabash, Illya M. Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints. (English) Zbl 1290.49097 J. Differ. Equations 257, No. 2, 374-414 (2014). MSC: 49R05 49J20 35B34 34L15 58E17 32A60 PDFBibTeX XMLCite \textit{I. M. Karabash}, J. Differ. Equations 257, No. 2, 374--414 (2014; Zbl 1290.49097) Full Text: DOI arXiv
Hinton, Don; McCarthy, Maeve Bounds and optimization of the minimum eigenvalue for a vibrating system. (English) Zbl 1340.34334 Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 48, 22 p. (2013). MSC: 34L15 34B08 34B24 34L05 49K15 49R05 PDFBibTeX XMLCite \textit{D. Hinton} and \textit{M. McCarthy}, Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 48, 22 p. (2013; Zbl 1340.34334) Full Text: DOI Link
Pinasco, Juan Pablo Lyapunov-type inequalities. With applications to eigenvalue problems. (English) Zbl 1291.34001 SpringerBriefs in Mathematics. New York, NY: Springer (ISBN 978-1-4614-8522-3/pbk; 978-1-4614-8523-0/ebook). xiii, 131 p. (2013). Reviewer: Antonio Cañada Villar (Granada) MSC: 34-02 34B05 34B15 34C10 34L15 35J25 49R05 PDFBibTeX XMLCite \textit{J. P. Pinasco}, Lyapunov-type inequalities. With applications to eigenvalue problems. New York, NY: Springer (2013; Zbl 1291.34001) Full Text: DOI
Karabash, Illya M. Optimization of quasi-normal eigenvalues for Krein-Nudelman strings. (English) Zbl 1261.49014 Integral Equations Oper. Theory 75, No. 2, 235-247 (2013). MSC: 49R05 49Q10 35B34 70J10 47N50 34L15 PDFBibTeX XMLCite \textit{I. M. Karabash}, Integral Equations Oper. Theory 75, No. 2, 235--247 (2013; Zbl 1261.49014) Full Text: DOI arXiv
Meng, Gang; Yan, Ping; Zhang, Meirong Maximization of eigenvalues of one-dimensional \(p\)-Laplacian with integrable potentials. (English) Zbl 1280.34085 Commun. Contemp. Math. 15, No. 1, Paper No. 1250049, 18 p. (2013). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L15 34L40 49R05 34B09 PDFBibTeX XMLCite \textit{G. Meng} et al., Commun. Contemp. Math. 15, No. 1, Paper No. 1250049, 18 p. (2013; Zbl 1280.34085) Full Text: DOI
Hasansoy, Mahir A variational approach to the problem of oscillations of an elastic half cylinder. (English) Zbl 1290.47010 Bull. Iran. Math. Soc. 38, No. 1, 223-240 (2012). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47A25 47A75 35P15 34L15 49R05 PDFBibTeX XMLCite \textit{M. Hasansoy}, Bull. Iran. Math. Soc. 38, No. 1, 223--240 (2012; Zbl 1290.47010)
Seppala-Holtzman, D. N. An optimal basketball free throw. (English) Zbl 1267.97020 Coll. Math. J. 43, No. 5, 387-394 (2012). MSC: 97N60 97M99 49N90 PDFBibTeX XMLCite \textit{D. N. Seppala-Holtzman}, Coll. Math. J. 43, No. 5, 387--394 (2012; Zbl 1267.97020) Full Text: DOI
Zhang, Meirong Minimization of the zeroth Neumann eigenvalues with integrable potentials. (English. French summary) Zbl 1252.34099 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 4, 501-523 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L15 34L40 47A75 49R05 PDFBibTeX XMLCite \textit{M. Zhang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 4, 501--523 (2012; Zbl 1252.34099) Full Text: DOI
Güngör, Faruk; Hasanov, Mahir Non-standard eigenvalue problems for perturbed \(p\)-Laplacians. arXiv:1101.1827 Preprint, arXiv:1101.1827 [math.AP] (2011). MSC: 49R50 47A75 35P15 34L15 35D05 35J60 BibTeX Cite \textit{F. Güngör} and \textit{M. Hasanov}, ``Non-standard eigenvalue problems for perturbed $p$-Laplacians'', Preprint, arXiv:1101.1827 [math.AP] (2011) Full Text: arXiv OA License
Al-Homidan, S.; Ansari, Q. H. Quasi-equilibrium problems with lower and upper bounds in ordered topological spaces. (English) Zbl 1196.49005 J. Nonlinear Convex Anal. 11, No. 2, 345-355 (2010). MSC: 49J40 47J20 47H06 49J53 PDFBibTeX XMLCite \textit{S. Al-Homidan} and \textit{Q. H. Ansari}, J. Nonlinear Convex Anal. 11, No. 2, 345--355 (2010; Zbl 1196.49005)
Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang Localized modes of the linear periodic Schrödinger operator with a nonlocal perturbation. (English) Zbl 1204.34114 SIAM J. Math. Anal. 41, No. 5, 1967-1993 (2009). MSC: 34L15 49R05 34L40 PDFBibTeX XMLCite \textit{T. Dohnal} et al., SIAM J. Math. Anal. 41, No. 5, 1967--1993 (2009; Zbl 1204.34114) Full Text: DOI arXiv Link
Giulini, S.; Sanguineti, M. Approximation schemes for functional optimization problems. (English) Zbl 1176.90658 J. Optim. Theory Appl. 140, No. 1, 33-54 (2009). Reviewer: Tran Nhu Pham (Hanoi) MSC: 90C59 49M15 90C48 PDFBibTeX XMLCite \textit{S. Giulini} and \textit{M. Sanguineti}, J. Optim. Theory Appl. 140, No. 1, 33--54 (2009; Zbl 1176.90658) Full Text: DOI
Fan, Liya Weighted quasi-equilibrium problems with lower and upper bounds. (English) Zbl 1155.90453 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 6, 2280-2287 (2009). MSC: 90C30 26E25 49J52 49J40 PDFBibTeX XMLCite \textit{L. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 6, 2280--2287 (2009; Zbl 1155.90453) Full Text: DOI
Poliakovsky, Arkady Sharp upper bounds for a singular perturbation problem related to micromagnetics. (English) Zbl 1150.49006 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 6, No. 4, 673-701 (2007). Reviewer: Fabio Paronetto (Padova) MSC: 49J45 35B25 35J20 PDFBibTeX XMLCite \textit{A. Poliakovsky}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 6, No. 4, 673--701 (2007; Zbl 1150.49006)
Boulkhemair, A.; Chakib, A. On the uniform Poincaré inequality. (English) Zbl 1128.26010 Commun. Partial Differ. Equations 32, No. 9, 1439-1447 (2007). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 26D10 46E35 58J50 35B37 34L15 35P15 49Q10 PDFBibTeX XMLCite \textit{A. Boulkhemair} and \textit{A. Chakib}, Commun. Partial Differ. Equations 32, No. 9, 1439--1447 (2007; Zbl 1128.26010) Full Text: DOI
Al-Homidan, Suliman; Ansari, Qamrul Hasan Systems of quasi-equilibrium problems with lower and upper bounds. (English) Zbl 1114.49006 Appl. Math. Lett. 20, No. 3, 323-328 (2007). MSC: 49J40 47J20 47N10 91B50 PDFBibTeX XMLCite \textit{S. Al-Homidan} and \textit{Q. H. Ansari}, Appl. Math. Lett. 20, No. 3, 323--328 (2007; Zbl 1114.49006) Full Text: DOI
Hasanov, M. Spectral problems for operator pencils in non-separated root zones. (English) Zbl 1121.47011 Turk. J. Math. 31, No. 1, 43-52 (2007). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47A75 47A56 49R50 34L15 PDFBibTeX XMLCite \textit{M. Hasanov}, Turk. J. Math. 31, No. 1, 43--52 (2007; Zbl 1121.47011)
Zhang, Cong-Jun; Li, Jinlu; Sun, Min Existence of solutions for abstract economic equilibrium problems and algorithm. (English) Zbl 1132.91536 Comput. Math. Appl. 52, No. 10-11, 1471-1482 (2006). MSC: 91B50 47N10 49J35 PDFBibTeX XMLCite \textit{C.-J. Zhang} et al., Comput. Math. Appl. 52, No. 10--11, 1471--1482 (2006; Zbl 1132.91536) Full Text: DOI
Grubišić, Luka On eigenvalue and eigenvector estimates for nonnegative definite operators. (English) Zbl 1131.65043 SIAM J. Matrix Anal. Appl. 28, No. 4, 1097-1125 (2006). Reviewer: Vasilis Dimitriou (Chania) MSC: 65J10 47A10 49R50 35P15 34L15 PDFBibTeX XMLCite \textit{L. Grubišić}, SIAM J. Matrix Anal. Appl. 28, No. 4, 1097--1125 (2006; Zbl 1131.65043) Full Text: DOI arXiv
Çolakoğlu, N.; Hasanov, M.; Uzun, B. Ünalmış Eigenvalues of two parameter polynomial operator pencils of waveguide type. (English) Zbl 1114.47016 Integral Equations Oper. Theory 56, No. 3, 381-400 (2006). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 47A56 47A75 34L15 49R50 PDFBibTeX XMLCite \textit{N. Çolakoğlu} et al., Integral Equations Oper. Theory 56, No. 3, 381--400 (2006; Zbl 1114.47016) Full Text: DOI
Zhang, Congjun A class of equilibrium problems with lower and upper bounds. (Chinese. English summary) Zbl 1137.49304 Acta Math. Sin. 48, No. 2, 293-298 (2005). MSC: 49J40 47H10 47N10 90C47 PDFBibTeX XMLCite \textit{C. Zhang}, Acta Math. Sin. 48, No. 2, 293--298 (2005; Zbl 1137.49304)
Ding, Xieping Generalized \(R\)-KKM type theorems in topological spaces and applications. (English) Zbl 1080.54029 J. Sichuan Norm. Univ., Nat. Sci. 28, No. 5, 505-513 (2005). MSC: 54H25 54C60 49J35 91B40 PDFBibTeX XMLCite \textit{X. Ding}, J. Sichuan Norm. Univ., Nat. Sci. 28, No. 5, 505--513 (2005; Zbl 1080.54029)
Zhang, Roxin Nonlinear functional error bounds. (English) Zbl 1068.49014 Pac. J. Optim. 1, No. 1, 219-231 (2005). MSC: 49J52 90C31 90C25 49J53 PDFBibTeX XMLCite \textit{R. Zhang}, Pac. J. Optim. 1, No. 1, 219--231 (2005; Zbl 1068.49014)
Barbarosie, Cristian; Toader, Anca-Maria Bounds for non-periodic mixtures of infinitely many materials. (English) Zbl 1065.35043 Math. Methods Appl. Sci. 28, No. 9, 1089-1114 (2005). MSC: 35B27 49K20 49N45 PDFBibTeX XMLCite \textit{C. Barbarosie} and \textit{A.-M. Toader}, Math. Methods Appl. Sci. 28, No. 9, 1089--1114 (2005; Zbl 1065.35043) Full Text: DOI
Zhang, Roxin Weakly upper Lipschitz multifunctions and applications in parametric optimization. (English) Zbl 1060.49017 Math. Program. 102, No. 1 (A), 153-166 (2005). MSC: 49J53 49J52 90C31 PDFBibTeX XMLCite \textit{R. Zhang}, Math. Program. 102, No. 1 (A), 153--166 (2005; Zbl 1060.49017) Full Text: DOI
Grubisic, Luka On Temple–Kato like inequalities and applications. arXiv:math/0511408 Preprint, arXiv:math/0511408 [math.SP] (2005). MSC: 34L15 35P15 49R50 65F15 BibTeX Cite \textit{L. Grubisic}, ``On Temple--Kato like inequalities and applications'', Preprint, arXiv:math/0511408 [math.SP] (2005) Full Text: arXiv
Berlanga, R.; Rosenblueth, J. F. A Sturm-Liouville approach applicable to different notions of conjugacy. (English) Zbl 1056.49022 Appl. Math. Lett. 17, No. 4, 467-472 (2004). MSC: 49K05 34B24 34L15 PDFBibTeX XMLCite \textit{R. Berlanga} and \textit{J. F. Rosenblueth}, Appl. Math. Lett. 17, No. 4, 467--472 (2004; Zbl 1056.49022) Full Text: DOI
Kraus, Margarita; Langer, Matthias; Tretter, Christiane Variational principles and eigenvalue estimates for unbounded block operator matrices and applications. (English) Zbl 1066.49030 J. Comput. Appl. Math. 171, No. 1-2, 311-334 (2004). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 49R50 34L15 34L20 76W05 58J50 47A75 PDFBibTeX XMLCite \textit{M. Kraus} et al., J. Comput. Appl. Math. 171, No. 1--2, 311--334 (2004; Zbl 1066.49030) Full Text: DOI
Chen, Mufa; Zhang, Yuhui; Zhao, Xiaoliang Dual variational formulas for the first Dirichlet eigenvalue on half-line. (English) Zbl 1090.34068 Sci. China, Ser. A 46, No. 6, 847-861 (2003). Reviewer: Zoran Kadelburg (Belgrade) MSC: 34L15 35J20 47E05 49R50 PDFBibTeX XMLCite \textit{M. Chen} et al., Sci. China, Ser. A 46, No. 6, 847--861 (2003; Zbl 1090.34068)
Chen, Mu-Fa Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes. (English) Zbl 1048.26009 Athreya, Krishna (ed.) et al., Probability, statistics and their applications: Papers in honor of Rabi Bhattacharya. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-55-2/pbk). IMS Lect. Notes, Monogr. Ser. 41, 81-96 (2003). MSC: 26D10 49R50 34L15 46E30 60J27 PDFBibTeX XMLCite \textit{M.-F. Chen}, IMS Lect. Notes, Monogr. Ser. 41, 81--96 (2003; Zbl 1048.26009)
Chen, Mu Fa Variational formulas of Poincaré-type inequalities for birth-death processes. (English) Zbl 1040.60064 Acta Math. Sin., Engl. Ser. 19, No. 4, 625-644 (2003). Reviewer: Valentin Topchii (Omsk) MSC: 60J27 49R50 34L15 PDFBibTeX XMLCite \textit{M. F. Chen}, Acta Math. Sin., Engl. Ser. 19, No. 4, 625--644 (2003; Zbl 1040.60064) Full Text: DOI
Fakhar, M.; Zafarani, J. KKM theorem with applications to lower and upper bounds equilibrium problem in \(G\)-convex spaces. (English) Zbl 1044.47044 Int. J. Math. Math. Sci. 2003, No. 51, 3267-3276 (2003). Reviewer: Rita Pini (Milano) MSC: 47J20 47H10 54C60 49J35 PDFBibTeX XMLCite \textit{M. Fakhar} and \textit{J. Zafarani}, Int. J. Math. Math. Sci. 2003, No. 51, 3267--3276 (2003; Zbl 1044.47044) Full Text: DOI EuDML
Weeks, John D. External fields, density functionals, and the Gibbs inequality. (English) Zbl 1023.81049 J. Stat. Phys. 110, No. 3-6, 1209-1218 (2003). MSC: 81V70 82B30 49S05 PDFBibTeX XMLCite \textit{J. D. Weeks}, J. Stat. Phys. 110, No. 3--6, 1209--1218 (2003; Zbl 1023.81049) Full Text: DOI arXiv
Chen, Mu Fa Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. (English) Zbl 1063.26008 Acta Math. Sin., Engl. Ser. 18, No. 3, 417-436 (2002). Reviewer: Bohumír Opic (Praha) MSC: 26D10 49R50 34L15 46E30 PDFBibTeX XMLCite \textit{M. F. Chen}, Acta Math. Sin., Engl. Ser. 18, No. 3, 417--436 (2002; Zbl 1063.26008) Full Text: DOI
Cox, Steven J.; McCarthy, C. Maeve The shape of the tallest column: Corrected. (English) Zbl 0957.34073 SIAM J. Math. Anal. 31, No. 4, 940-940 (2000). MSC: 34L15 74G60 49J99 PDFBibTeX XMLCite \textit{S. J. Cox} and \textit{C. M. McCarthy}, SIAM J. Math. Anal. 31, No. 4, 940--940 (2000; Zbl 0957.34073) Full Text: DOI
Arcoya, David; Cingolani, Silvia; Gámez, José L. Asymmetric modes in symmetric nonlinear optical waveguides. (English) Zbl 0933.34014 SIAM J. Math. Anal. 30, No. 6, 1391-1400 (1999). MSC: 34B18 34L15 34B15 35Q60 49R50 PDFBibTeX XMLCite \textit{D. Arcoya} et al., SIAM J. Math. Anal. 30, No. 6, 1391--1400 (1999; Zbl 0933.34014) Full Text: DOI
Li, Shengjia; Yu, Jingyuan; Liang, Zhandong; Zhu, Guangtian Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping. (English) Zbl 0936.35029 SIAM J. Control Optim. 37, No. 6, 1767-1779 (1999). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 35B37 93D15 35B35 35L35 34L15 49N35 49J15 PDFBibTeX XMLCite \textit{S. Li} et al., SIAM J. Control Optim. 37, No. 6, 1767--1779 (1999; Zbl 0936.35029) Full Text: DOI
Benguria, Rafael D.; Yáñez, Julio M. Variational principle for the chemical potential in the Thomas-Fermi model. (English) Zbl 0956.81092 J. Phys. A, Math. Gen. 31, No. 2, 585-593 (1998). MSC: 81V45 49S05 81V55 PDFBibTeX XMLCite \textit{R. D. Benguria} and \textit{J. M. Yáñez}, J. Phys. A, Math. Gen. 31, No. 2, 585--593 (1998; Zbl 0956.81092) Full Text: DOI
Benguria, R. D.; Depassier, M. C. Phase space derivation of a variational principle for one-dimensional Hamiltonian systems. (English) Zbl 0946.34070 Phys. Lett., A 240, No. 3, 144-146 (1998). MSC: 34L15 34B15 49R50 34B24 PDFBibTeX XMLCite \textit{R. D. Benguria} and \textit{M. C. Depassier}, Phys. Lett., A 240, No. 3, 144--146 (1998; Zbl 0946.34070) Full Text: DOI arXiv
van der Hofstad, Remco The constants in the central limit theorem for the one-dimensional Edwards model. (English) Zbl 0930.60089 J. Stat. Phys. 90, No. 5-6, 1295-1310 (1998). Reviewer: W.König (Berlin) MSC: 60K35 34L15 49R50 60F05 82D60 PDFBibTeX XMLCite \textit{R. van der Hofstad}, J. Stat. Phys. 90, No. 5--6, 1295--1310 (1998; Zbl 0930.60089) Full Text: DOI
Karaa, Samir Sharp estimates for the eigenvalues of some differential equations. (English) Zbl 0914.34072 SIAM J. Math. Anal. 29, No. 5, 1279-1300 (1998). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34L15 47A75 49R50 34B24 PDFBibTeX XMLCite \textit{S. Karaa}, SIAM J. Math. Anal. 29, No. 5, 1279--1300 (1998; Zbl 0914.34072) Full Text: DOI
Cox, Steven J.; McCarthy, C. The shape of the tallest column. (English) Zbl 0913.34072 SIAM J. Math. Anal. 29, No. 3, 547-554 (1998). Reviewer: R.L.Huston (Cincinnati) MSC: 34L15 74G60 49J99 PDFBibTeX XMLCite \textit{S. J. Cox} and \textit{C. McCarthy}, SIAM J. Math. Anal. 29, No. 3, 547--554 (1998; Zbl 0913.34072) Full Text: DOI
Falsaperla, P.; Fonte, G. Two methods for determining upper and lower bounds to the eigenvalues of non-semibounded self-adjoint operators. (English) Zbl 0907.49024 J. Nat. Geom. 12, No. 2, 101-124 (1997). Reviewer: V.D.Rădulescu (Craiova) MSC: 49R50 47A75 46N50 PDFBibTeX XMLCite \textit{P. Falsaperla} and \textit{G. Fonte}, J. Nat. Geom. 12, No. 2, 101--124 (1997; Zbl 0907.49024)
Mertins, U. On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum. (English) Zbl 0898.49020 Z. Anal. Anwend. 15, No. 3, 661-686 (1996). Reviewer: R.D.Grigorieff (Berlin) MSC: 49R50 65N25 35P15 PDFBibTeX XMLCite \textit{U. Mertins}, Z. Anal. Anwend. 15, No. 3, 661--686 (1996; Zbl 0898.49020) Full Text: DOI
Ward, D. E. Dini derivatives of the marginal function of a non-Lipschitzian program. (English) Zbl 0846.90106 SIAM J. Optim. 6, No. 1, 198-211 (1996). MSC: 90C31 49J52 90C30 PDFBibTeX XMLCite \textit{D. E. Ward}, SIAM J. Optim. 6, No. 1, 198--211 (1996; Zbl 0846.90106) Full Text: DOI
Carl, Siegfried Enclosure of solutions for quasilinear dynamic hemivariational inequalities. (English) Zbl 0902.35065 Nonlinear World 3, No. 3, 281-298 (1996). Reviewer: V.Mustonen (Oulu) MSC: 35K85 49J40 35K60 35R70 PDFBibTeX XMLCite \textit{S. Carl}, Nonlinear World 3, No. 3, 281--298 (1996; Zbl 0902.35065)
Brakke, Kenneth A. Numerical solution of soap film dual problems. (English) Zbl 1010.53500 Exp. Math. 4, No. 4, 269-287 (1995). MSC: 53A10 65K10 49Q10 PDFBibTeX XMLCite \textit{K. A. Brakke}, Exp. Math. 4, No. 4, 269--287 (1995; Zbl 1010.53500) Full Text: DOI EuDML EMIS
Kratz, Werner Quadratic functionals in variational analysis and control theory. (English) Zbl 0842.49001 Mathematical Topics. 6. Berlin: Akademie-Verlag. 293 p. (1995). Reviewer: W.L.de Koning (Delft) MSC: 49-02 93-02 34B24 34L15 49N10 49J15 PDFBibTeX XMLCite \textit{W. Kratz}, Quadratic functionals in variational analysis and control theory. Berlin: Akademie-Verlag (1995; Zbl 0842.49001)
Brown, J. Randall Bounded knapsack sharing. (English) Zbl 0821.90098 Math. Program. 67, No. 3 (A), 343-382 (1994). MSC: 90C30 49J35 PDFBibTeX XMLCite \textit{J. R. Brown}, Math. Program. 67, No. 3 (A), 343--382 (1994; Zbl 0821.90098) Full Text: DOI
Zimmermann, Sabine Comparison of errors in upper and lower bounds to eigenvalues of self- adjoint eigenvalue problems. (English) Zbl 0815.65074 Numer. Funct. Anal. Optimization 15, No. 7-8, 943-960 (1994). Reviewer: J.Vaníček (Praha) MSC: 65J10 65N25 65L15 34L15 35P15 47A75 49R50 PDFBibTeX XMLCite \textit{S. Zimmermann}, Numer. Funct. Anal. Optim. 15, No. 7--8, 943--960 (1994; Zbl 0815.65074) Full Text: DOI
Egorov, Yuri V.; Karaa, Samir Optimization of the first eigenvalue of the Sturm-Liouville operator. (Optimisation de la première valeur propre de l’opérateur de Sturm-Liouville.) (French. Abridged English version) Zbl 0840.49002 C. R. Acad. Sci., Paris, Sér. I 319, No. 8, 793-798 (1994). Reviewer: I.Bock (Bratislava) MSC: 49J15 34L15 47E05 PDFBibTeX XMLCite \textit{Y. V. Egorov} and \textit{S. Karaa}, C. R. Acad. Sci., Paris, Sér. I 319, No. 8, 793--798 (1994; Zbl 0840.49002)
Pappalardo, Massimo A priori bounds for strongly convex nondifferentiable extremum problems. (English) Zbl 0802.90102 Boll. Unione Mat. Ital., VII. Ser., A 8, No. 1, 25-32 (1994). Reviewer: M.Pappalardo (Pisa) MSC: 90C30 49J52 90C25 49M37 PDFBibTeX XMLCite \textit{M. Pappalardo}, Boll. Unione Mat. Ital., VII. Ser., A 8, No. 1, 25--32 (1994; Zbl 0802.90102)
Wasserman, Larry; Lavine, Michael; Wolpert, Robert L. Linearization of Bayesian robustness problems. (English) Zbl 0850.62303 J. Stat. Plann. Inference 37, No. 3, 307-316 (1993). MSC: 62F15 65C99 62F35 49N99 PDFBibTeX XMLCite \textit{L. Wasserman} et al., J. Stat. Plann. Inference 37, No. 3, 307--316 (1993; Zbl 0850.62303) Full Text: DOI
Ferris, M. C.; Mangasarian, O. L. Error bounds and strong upper semicontinuity for monotone affine variational inequalities. (English) Zbl 0794.49008 Ann. Oper. Res. 46-47, No. 1-4, 293-305 (1993). MSC: 49J40 90C33 90C25 PDFBibTeX XMLCite \textit{M. C. Ferris} and \textit{O. L. Mangasarian}, Ann. Oper. Res. 46--47, No. 1--4, 293--305 (1993; Zbl 0794.49008) Full Text: DOI
Savoye, Philip Spectral inequalities for a beam subject to hydrostatic pressure. (English) Zbl 0779.34064 Pure Appl. Math. Sci. 38, No. 1-2, 1-7 (1993). MSC: 34L15 49R50 74K10 42C20 PDFBibTeX XMLCite \textit{P. Savoye}, Pure Appl. Math. Sci. 38, No. 1--2, 1--7 (1993; Zbl 0779.34064)
Ward, D. E. Differential stability in non-Lipschitzian optimization. (English) Zbl 0794.90070 J. Optimization Theory Appl. 73, No. 1, 101-120 (1992). MSC: 90C31 49J52 90C30 PDFBibTeX XMLCite \textit{D. E. Ward}, J. Optim. Theory Appl. 73, No. 1, 101--120 (1992; Zbl 0794.90070) Full Text: DOI
Brown, R. D. Monotone convergence theorems for variational triples with applications to intermediate problems. (English) Zbl 0754.65067 Proc. R. Soc. Edinb., Sect. A 117, No. 1-2, 39-58 (1991). Reviewer: V.Suchánková-Marsiková (Praha) MSC: 65K10 49R50 PDFBibTeX XMLCite \textit{R. D. Brown}, Proc. R. Soc. Edinb., Sect. A, Math. 117, No. 1--2, 39--58 (1991; Zbl 0754.65067) Full Text: DOI
Facchinei, F. Exact penalty functions and Lagrange multipliers. (English) Zbl 0733.90061 Optimization 22, No. 4, 579-606 (1991). Reviewer: B.D.Craven (Parkville) MSC: 90C30 49M37 49M30 PDFBibTeX XMLCite \textit{F. Facchinei}, Optimization 22, No. 4, 579--606 (1991; Zbl 0733.90061) Full Text: DOI
Sobolevskij, E. P. On systems of differential and algebraic inequalities associated with a control problem. (Russian) Zbl 0715.49019 Differ. Uravn. 26, No. 10, 1826-1828 (1990). Reviewer: L.Bakule MSC: 49K15 49J15 49K30 PDFBibTeX XMLCite \textit{E. P. Sobolevskij}, Differ. Uravn. 26, No. 10, 1826--1828 (1990; Zbl 0715.49019)
Ram, Yitshak M.; Braun, Simon G. Structural dynamic modifications using truncated data: Bounds for the eigenvalues. (English) Zbl 0708.73035 Mech. Syst. Signal Process. 4, No. 1, 39-52 (1990). MSC: 74H45 49R50 PDFBibTeX XMLCite \textit{Y. M. Ram} and \textit{S. G. Braun}, Mech. Syst. Signal Process. 4, No. 1, 39--52 (1990; Zbl 0708.73035) Full Text: DOI
Hammer, P. L.; Liu, Yanpei; Simeone, B. Boolean approaches to combinatorial optimization. II. (English) Zbl 0779.05024 J. Math. Res. Expo. 10, No. 3, 455-468 (1990). Reviewer: Liu Yanpei (Beijing) MSC: 05C35 90C35 49-02 PDFBibTeX XMLCite \textit{P. L. Hammer} et al., J. Math. Res. Expo. 10, No. 3, 455--468 (1990; Zbl 0779.05024)
Minchenko, L. I. Computation of subdifferentials of marginal functions using the distance function. (English. Russian original) Zbl 0748.49011 Cybernetics 25, No. 5, 667-671 (1989); translation from Kibernetika 1989, No. 5, 83-85 (1989). MSC: 49J52 26E25 PDFBibTeX XMLCite \textit{L. I. Minchenko}, Cybernetics 25, No. 5, 667--671 (1989; Zbl 0748.49011); translation from Kibernetika 1989, No. 5, 83--85 (1989) Full Text: DOI
Gao, Yang; Strang, Gilbert Dual extremum principles in finite deformation elastoplastic analysis. (English) Zbl 0732.73026 Acta Appl. Math. 17, No. 3, 257-267 (1989). Reviewer: W.Kosiński (Warszawa) MSC: 74B20 74R20 49N15 74S30 74P10 74C15 74C20 49S05 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{G. Strang}, Acta Appl. Math. 17, No. 3, 257--267 (1989; Zbl 0732.73026) Full Text: DOI
Avellaneda, Marco; Milton, Graeme W. Optimal bounds on the effective bulk modulus of polycrystals. (English) Zbl 0702.73078 SIAM J. Appl. Math. 49, No. 3, 824-837 (1989). MSC: 74S30 74P10 74E30 49R50 49S05 PDFBibTeX XMLCite \textit{M. Avellaneda} and \textit{G. W. Milton}, SIAM J. Appl. Math. 49, No. 3, 824--837 (1989; Zbl 0702.73078) Full Text: DOI
Lüthi, Hans-Jakob Linear complementarity problem with upper bounds. (English) Zbl 0679.90084 Eur. J. Oper. Res. 40, No. 3, 337-343 (1989). Reviewer: M.Luptačik MSC: 90C33 90C05 49J40 90C20 PDFBibTeX XMLCite \textit{H.-J. Lüthi}, Eur. J. Oper. Res. 40, No. 3, 337--343 (1989; Zbl 0679.90084) Full Text: DOI
Busse, F. H. On the optimum theory of turbulence. (English) Zbl 0671.76088 Energy stability and convection, Proc. Workshop, Capri/Italy 1986, Pitman Res. Notes Math. Ser. 168, 3-21 (1988). MSC: 76F99 49S05 PDFBibTeX XML
Trubin, V. A. Dynamic decomposition method for linear programming problems with generalized upper bounds. (English. Russian original) Zbl 0636.90055 Cybernetics 22, No. 4, 468-474 (1986); translation from Kibernetika 1986, No. 4, 49-53 (1986). MSC: 90C05 90C06 65K05 49M27 PDFBibTeX XMLCite \textit{V. A. Trubin}, Cybernetics 22, No. 4, 468--474 (1986; Zbl 0636.90055); translation from Kibernetika 1986, No. 4, 49--53 (1986) Full Text: DOI
Khan, Saleem; Dhaliwal, Ranjit Upper bound approximations to the eigenvalues of rectangular plates. (English) Zbl 0609.73060 J. Math. Phys. Sci. 20, 285-300 (1986). MSC: 74H45 35P15 74K20 49R50 PDFBibTeX XMLCite \textit{S. Khan} and \textit{R. Dhaliwal}, J. Math. Phys. Sci. 20, 285--300 (1986; Zbl 0609.73060)
Sadek, Edward A. Dynamic optimization of framed structures with variable layout. (English) Zbl 0592.73121 Int. J. Numer. Methods Eng. 23, 1273-1294 (1986). MSC: 74P99 74H45 65K10 49L20 74-04 PDFBibTeX XMLCite \textit{E. A. Sadek}, Int. J. Numer. Methods Eng. 23, 1273--1294 (1986; Zbl 0592.73121) Full Text: DOI
Benker, H. Upper and lower bounds for minimal norm problems under linear constraints. (English) Zbl 0578.49017 Mathematical control theory, Banach Cent. Publ. 14, 35-45 (1985). Reviewer: W.Kotarski MSC: 49K27 49N15 90C48 PDFBibTeX XML
Jones, D. S. Scattering by inhomogeneous dielectric particles. (English) Zbl 0559.73094 Q. J. Mech. Appl. Math. 38, 135-155 (1985). Reviewer: G.A.Maugin MSC: 74F15 74S30 78A40 49S05 78A45 PDFBibTeX XMLCite \textit{D. S. Jones}, Q. J. Mech. Appl. Math. 38, 135--155 (1985; Zbl 0559.73094) Full Text: DOI
Čyras, A.; Atkočiūnas, J. Mathematical model for the analysis of elastic-plastic structures under repeated-variable loading. (English) Zbl 0578.73038 Mech., Res. Commun. 11, 353-360 (1984). MSC: 74R20 49M37 PDFBibTeX XMLCite \textit{A. Čyras} and \textit{J. Atkočiūnas}, Mech. Res. Commun. 11, 353--360 (1984; Zbl 0578.73038) Full Text: DOI
Scott, C. H.; Jefferson, T. R. Theoretical framework for the analysis of linearly constrained convex programs. (English) Zbl 0539.90086 Int. J. Syst. Sci. 15, 617-625 (1984). Reviewer: J.E.Martinez-Legaz MSC: 90C25 90C99 65K05 49N15 90C35 90B10 90C55 PDFBibTeX XMLCite \textit{C. H. Scott} and \textit{T. R. Jefferson}, Int. J. Syst. Sci. 15, 617--625 (1984; Zbl 0539.90086) Full Text: DOI
Siedentop, Heinz K. H. Localization of eigenvalues by a modification of Müller’s variational principle in some exactly solvable cases. (English) Zbl 0586.49028 Z. Naturforsch. A 38, 493-496 (1983). MSC: 49R50 35P15 35J10 PDFBibTeX XMLCite \textit{H. K. H. Siedentop}, Z. Naturforsch., A 38, 493--496 (1983; Zbl 0586.49028)