Wang, Hongjun; Zhao, Jia The self-adjointness of the product of two differential operators on metric graph. (Chinese. English summary) Zbl 1484.47040 Acta Anal. Funct. Appl. 22, No. 4, 207-218 (2020). MSC: 47B25 05C50 × Cite Format Result Cite Review PDF Full Text: DOI
Mert, Rukiye Öztürk; Yilmaz, Bülent; Ismailov, Zameddin İ. Multipoint selfadjoint quasi-differential operators for first-order. (English) Zbl 1493.47031 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 964-972 (2019). MSC: 47B25 47E05 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Manafov, Manaf Dzh. Self-adjoint extensions of differential operators with potentials-point interactions. (English) Zbl 1477.47033 Tosun, Murat (ed.) et al., 6th international Eurasian conference on mathematical sciences and applications, IECMSA-2017, Budapest, Hungary, August 15–18 August, 2017. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1926, Article 020029, 6 p. (2018). MSC: 47E05 47B25 47A20 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Qiuhong The domains of \(J\)-selfadjoint extensions of \(J\)-symmetric differential operators with two singular end points. (Chinese. English summary) Zbl 1438.47005 J. North Univ. China, Nat. Sci. 39, No. 5, 489-494 (2018). MSC: 47A05 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Öztürk Mert, Rukiye; Yilmaz, Bülent; İsmailov, Zameddin I. First order self-adjoint multipoint quasi-differential operators. (English) Zbl 1424.47015 Turk. J. Math. 42, No. 4, 2071-2079 (2018). MSC: 47A10 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Konechnaya, Natal’ya Nikolaevna; Mirzoev, Karakhan Agakhan Asymptotics of solutions to a class of linear differential equations. (Russian. English summary) Zbl 1463.34219 Ufim. Mat. Zh. 9, No. 3, 78-88 (2017); translation in Ufa Math. J. 9, No. 3, 78-88 (2017). MSC: 34D05 34A30 34A06 34A05 34L05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Broĭtigam, Irina Nikolaevna; Mirzoev, Karakhan Agakhan ogly; Safonova, Tat’yana Aatol’evna On deficiency index for some second order vector differential operators. (Russian. English summary) Zbl 1474.47081 Ufim. Mat. Zh. 9, No. 1, 18-28 (2017); translation in Ufa Math. J. 9, No. 1, 18-28 (2017). MSC: 47E05 34A30 34L05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Ipek, Pembe; Yilmaz, Bülent; Ismailov, Zameddin I. First-order selfadjoint singular differential operators in a Hilbert space of vector functions. (English) Zbl 06771088 Electron. J. Differ. Equ. 2017, Paper No. 143, 8 p. (2017). MSC: 47A10 47B25 × Cite Format Result Cite Review PDF Full Text: Link
Kurkina, A. V. Closed-form expression for a generalized solution in \(W_p^1\) of a mixed problem describing radially symmetric vibrations of a three-dimensional ball. (English. Russian original) Zbl 1311.93043 Differ. Equ. 51, No. 1, 47-53 (2015); translation from Differ. Uravn. 51, No. 1, 48-54 (2015). MSC: 93C20 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhong; Fu, Shouzhong; Duan, Junshen Expansion of eigenfunctions of regular J-self-adjoint differential operators. (English) Zbl 1418.34154 Pac. J. Appl. Math. 6, No. 3, 159-174 (2014). MSC: 34L05 34L10 34B27 47E05 × Cite Format Result Cite Review PDF
Qingqing; Wang, Guixia; Kong, Huanhuan Self-adjointness of the products of high-order differential operators. (Chinese. English summary) Zbl 1260.47046 J. Inn. Mong. Norm. Univ., Nat. Sci. 41, No. 3, 227-230 (2012). MSC: 47F05 47B25 34L99 × Cite Format Result Cite Review PDF
Vogt, Hendrik The regular part of symmetric forms associated with second-order elliptic differential expressions. (English) Zbl 1214.47010 Bull. Lond. Math. Soc. 41, No. 3, 441-444 (2009). MSC: 47A07 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Hassi, S.; De Snoo, H. S. V.; Sterk, A. E.; Winkler, H. Finite-dimensional graph perturbations of selfadjoint Sturm-Liouville operators. (English) Zbl 1199.34132 Bakonyi, Mihály (ed.) et al., Operator theory, structured matrices, and dilations. Tiberiu Constantinescu memorial volume. Bucharest: Theta (ISBN 978-973-87899-0-6). Theta Series in Advanced Mathematics 7, 205-228 (2007). MSC: 34B20 34L10 47E05 47B25 × Cite Format Result Cite Review PDF
Zhang, Xinyan; Wang, Wanyi; Yang, Qiuxia On self-adjointness of the product of three second-order differential operators. (Chinese. English summary) Zbl 1174.34524 J. Inn. Mong. Norm. Univ., Nat. Sci. 36, No. 1, 35-42 (2007). MSC: 34L99 47B25 × Cite Format Result Cite Review PDF
Behnke, Horst; Hinton, Don Transformation theory of symmetric differential expressions. (English) Zbl 1160.34076 Adv. Differ. Equ. 11, No. 6, 601-626 (2006). Reviewer: W. D. Evans (Cardiff) MSC: 34L99 34C20 47E05 × Cite Format Result Cite Review PDF Backlinks: MO
Chen, Weimin; Huang, Zhenyou On the relationship of the symmetric ordinary differential operators of two self-adjoint extensions of symmetric operator. (Chinese. English summary) Zbl 1114.47303 Acta Anal. Funct. Appl. 7, No. 3, 210-220 (2005). MSC: 47B25 34L99 47E05 × Cite Format Result Cite Review PDF
Cascaval, Radu; Gesztesy, Fritz \(\mathcal J\)-self-adjointness of a class of Dirac-type operators. (English) Zbl 1070.47039 J. Math. Anal. Appl. 294, No. 1, 113-121 (2004). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 47E05 37K15 34L40 47B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Guangsheng; Xu, Zongben Selfadjoint extensions of symmetric differential operators with countably infinite deficiency indices. (Chinese. English summary) Zbl 1025.47027 Adv. Math., Beijing 29, No. 3, 227-234 (2000). MSC: 47E05 34L05 × Cite Format Result Cite Review PDF
Wang, Xiaoxia; He, Zuguo On \(J\)-selfadjoint extensions of \(J\)-symmetric ordinary differential operators in a vector-function space. (Chinese. English summary) Zbl 0990.47034 J. Syst. Sci. Math. Sci. 20, No. 4, 462-473 (2000). MSC: 47E05 47A20 × Cite Format Result Cite Review PDF
Serebryakov, V. P. The deficiency index of second-order matrix differential operators with rapidly oscillating coefficients. (English. Russian original) Zbl 1009.47030 Russ. Math. 44, No. 3, 46-50 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 3, 48-53 (2000). Reviewer: V.Marić (Novi Sad) MSC: 47E05 34L05 × Cite Format Result Cite Review PDF
Orochko, Yurii B. Examples of degenerate symmetric differential operators with infinite deficiency indices in \(L^2(\mathbb{R}^m)\). (English) Zbl 0929.47022 Proc. R. Soc. Edinb., Sect. A, Math. 129, No. 1, 165-179 (1999). MSC: 47E05 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed Ibrahim, Sobhy; Attia, Gamal M. Limit-circle and limit-point classification of second order symmetric differential expression. (English) Zbl 0937.34024 Far East J. Appl. Math. 2, No. 1, 31-41 (1998). Reviewer: Charles A.Swanson (Vancouver) MSC: 34B20 34C11 34A30 34E15 47E05 × Cite Format Result Cite Review PDF
Gorbachuk, M. L.; Gorbachuk, V. I. Realization of entire operators by differential ones. (English) Zbl 0908.47020 Integral Equations Oper. Theory 30, No. 2, 200-230 (1998). MSC: 47B25 34G10 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Gaidamak, O. G.; Sultanaev, Ya. T. The asymptotics of the spectrum of a quadratic pencil of differential operators. (English. Russian original) Zbl 0894.47014 Dokl. Math. 54, No. 3, 865-866 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 3, 297-298 (1996). MSC: 47A56 47A10 47E05 34L05 × Cite Format Result Cite Review PDF
Manafov, M. Dzh. A description of the domain of an ordinary differential operator with generalized potentials. (English. Russian original) Zbl 0883.47042 Differ. Equations 32, No. 5, 716-718 (1996); translation from Differ. Uravn. 32, No. 5, 706-707 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 47E05 47G20 47B25 × Cite Format Result Cite Review PDF
Serebryakov, V. P. Conditions for the existence of selfadjoint extensions of a third-order differential operator. (English. Russian original) Zbl 0880.34081 Differ. Equations 32, No. 2, 204-207 (1996); translation from Differ. Uravn. 32, No. 2, 201-204 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34L05 47E05 × Cite Format Result Cite Review PDF
Isaacs, Frank D. Comparing the deficiency indices of powers of \(\tau^ +\tau\) and \(\tau\tau^ +\), where \(\tau\) is a linear ordinary differential expression. (English) Zbl 0848.47031 Bainov, D. (ed.) et al., Proceedings of the fifth international colloquium on differential equations, Plovdiv, Bulgaria, August 18-23, 1994. Utrecht: VSP. 143-151 (1995). MSC: 47E05 47A53 × Cite Format Result Cite Review PDF
Mirzoev, K. A. Analogs of limit-point theorems. (English. Russian original) Zbl 0841.34026 Math. Notes 57, No. 3, 275-287 (1995); translation from Mat. Zametki 57, No. 3, 394-414 (1995). Reviewer: W.D.Evans (Cardiff) MSC: 34B20 34L05 × Cite Format Result Cite Review PDF Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Wellman, R. The symmetric form of the Koekoeks’ Laguerre type differential equation. (English) Zbl 0827.33004 J. Comput. Appl. Math. 57, No. 1-2, 115-121 (1995). Reviewer: R.Szwarc (Wrocław) MSC: 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Isaacs, Frank D. Lower bounds for the deficiency indices of \(T_ 0(\tau^ +)T_ 0(\tau)\), where \(\tau\) is a linear ordinary differential expression. (English) Zbl 0811.47046 Differ. Integral Equ. 6, No. 6, 1415-1430 (1993). MSC: 47E05 47B25 34B05 × Cite Format Result Cite Review PDF
Serebryakov, V. P. Quasiregularity of a singular differential operator. (English. Russian original) Zbl 0833.47042 Mosc. Univ. Math. Bull. 47, No. 6, 5-7 (1992); translation from Vestn. Mosk. Univ., Ser. I 1992, No. 6, 7-9 (1992). Reviewer: T.Dłotko (Katowice) MSC: 47E05 34A25 47B25 × Cite Format Result Cite Review PDF
El-Zayat, M. F. On the limit-point classification of a weighted fourth order differential expression with complex coefficients. (English) Zbl 0764.34056 Kyungpook Math. J. 31, No. 2, 171-184 (1991). Reviewer: R.C.Gilbert (Fullerton) MSC: 34L05 34B05 47B25 × Cite Format Result Cite Review PDF
Imamberdyev, B. I. The spectral function of an ordinary differential operator of odd order. (English. Russian original) Zbl 0745.34071 Russ. Math. Surv. 46, No. 1, 249-250 (1991); translation from Usp. Mat. Nauk 46, No. 1(277), 207-208 (1991). MSC: 34L05 34L20 × Cite Format Result Cite Review PDF Full Text: DOI
Imamberdyev, B. I. On the spectral function of an ordinary differential operator of odd order. (Russian) Zbl 0728.34085 Usp. Mat. Nauk 46, No. 1(277), 207-208 (1991). Reviewer: M.Shahin (Dallas) MSC: 34L05 34L20 × Cite Format Result Cite Review PDF
Zhareddine, Z. Reducibility of second order differential operators with complex coefficients. (English) Zbl 0843.47029 J. Inst. Math. Comput. Sci., Math. Ser. 3, No. 2, 201-208 (1990). MSC: 47E05 34B24 × Cite Format Result Cite Review PDF
Orochko, Yu. B. Problem of the theory of functions and essential self-adjointness of powers of operators. (English. Russian original) Zbl 0734.47015 Ukr. Math. J. 42, No. 11, 1335-1342 (1990); translation from Ukr. Mat. Zh. 42, No. 11, 1492-1500 (1990). Reviewer: T.Regińska (Warszawa) MSC: 47B25 47A60 × Cite Format Result Cite Review PDF Full Text: DOI
Niessen, Heinz-Dieter; Zettl, Anton The Friedrichs extension of regular ordinary differential operators. (English) Zbl 0712.34020 Proc. R. Soc. Edinb., Sect. A 114, No. 3-4, 229-236 (1990). Reviewer: S.Balint MSC: 34A99 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Race, David Some strong limit-2 and Dirichlet criteria for fourth order differential expressions. (English) Zbl 0707.34028 Math. Proc. Camb. Philos. Soc. 108, No. 2, 409-416 (1990). MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Race, D. On the commutativity of certain quasi-differential expressions. (English) Zbl 0677.34011 J. Lond. Math. Soc., II. Ser. 42, No. 3, 489-504 (1990). Reviewer: D.Race MSC: 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Allakhverdiev, B. P.; Bajramov, Eh. M. On the spectral theory of a system of not self-adjoint difference operators of first order. (Russian. English summary) Zbl 0728.47026 Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1989, No. 1, 21-25 (1989). MSC: 47B39 47B44 47A70 47A20 47B25 47E05 × Cite Format Result Cite Review PDF
Krishna Kumar, V.; Padmanabhan, A. On the deficiency indices of third-order differential operators. (English) Zbl 0648.34028 Bull. Lond. Math. Soc. 20, No. 4, 333-336 (1988). Reviewer: D.Robert MSC: 34L99 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Paydar, N. Stress analysis of annular sandwich plates of linearly varying thickness. (English) Zbl 0629.73052 Int. J. Solids Struct. 24, No. 3, 313-320 (1988). MSC: 74E30 74S30 74K20 74E10 × Cite Format Result Cite Review PDF Full Text: DOI
Dijksma, Aad; Langer, Heinz; de Snoo, Henk Unitary colligations in Krein spaces and their role in the extension theory of isometries and symmetric linear relations in Hilbert spaces. (English) Zbl 0628.47026 Functional analysis II, Proc. 2nd Conf., Dubrovnik/Yugosl. 1985, Lect. Notes Math. 1242, 1-42 (1987). MSC: 47B50 46C20 47B99 34L99 47A67 × Cite Format Result Cite Review PDF
Zahreddine, Z. Boundary conditions and the Cayley transform. (English) Zbl 0641.47023 Proc. R. Soc. Edinb., Sect. A 103, 129-136 (1986). Reviewer: K.K.Oberai MSC: 47B25 47A20 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Frentzen, Hilbert Limit-point criteria for symmetric and j-symmetric quasi-differential expressions of even order with a positive definite leading coefficient. (English) Zbl 0614.34011 Fachbereich Mathematik der Universität GHS Essen. 66 p. (1985). Reviewer: J.Kalas MSC: 34A30 34C05 × Cite Format Result Cite Review PDF
Das, Jyoti; Sett, Jayasri A note on the separation property of symmetric fourth-order differential expressions. (English) Zbl 0581.34035 J. Indian Inst. Sci. 65, No. 8, 173-177 (1984). MSC: 34C99 × Cite Format Result Cite Review PDF
Brown, Richard C. A von Neumann factorization of some selfadjoint extensions of positive symmetric differential operators and its application to inequalities. (English) Zbl 0588.34008 Ordinary differential equations and operators, to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 68-92 (1983). Reviewer: V.Georgescu MSC: 34A30 47B25 47E05 × Cite Format Result Cite Review PDF
Kauffman, Robert M. Factorization and the Friedrichs extension for ordinary differential operators. (English) Zbl 0586.47050 Ordinary differential equations and operators, to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 257-266 (1983). Reviewer: M.Mikolas MSC: 47E05 47B25 47A68 47A70 × Cite Format Result Cite Review PDF
Everitt, W. N.; Wray, S. D. On quadratic integral inequalities associated with second-order symmetric differential expressions. (English) Zbl 0556.26006 Ordinary differential equations and operators, A Trib. to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 170-223 (1983). Reviewer: E.Beck MSC: 26D10 47A30 34L99 34A40 47E05 × Cite Format Result Cite Review PDF
Orochko, Yuri On the Carleman resolvent estimate of Schrödinger type operator with arbitrary potential. (English) Zbl 0541.47038 J. Oper. Theory 9, 27-52 (1983). Reviewer: Th.Rassias MSC: 47F05 47B38 47B25 47A40 × Cite Format Result Cite Review PDF
Fulton, Charles T.; Krall, Allan M. Self-adjoint 4-th order boundary value problem in the limit-4 case. (English) Zbl 0526.34015 Ordinary differential equations and operators, to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 240-256 (1983). MSC: 34B20 34L99 × Cite Format Result Cite Review PDF
Everitt, W. N.; Wray, S. D. A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression. (English) Zbl 0533.34026 Czech. Math. J. 32(107), 589-607 (1982). Reviewer: P.Talpalaru MSC: 34B99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Wray, S. D. On a second-order differential expression and its Dirichlet integral. (English) Zbl 0523.34011 Ordinary and partial differential equations, Proc. 7th Conf., Dundee/Scotl. 1982, Lect. Notes Math. 964, 710-717 (1982). MSC: 34A99 34C05 × Cite Format Result Cite Review PDF
Wray, S. D. An inequality involving a conditionally convergent Dirichlet integral of an ordinary differential expression. (English) Zbl 0509.34023 Util. Math. 22, 161-184 (1982). MSC: 34B99 47E05 26A24 × Cite Format Result Cite Review PDF
Gorbachuk, M. L.; Levchuk, V. V. Selfadjoint extensions with absolutely continuous spectrum of the minimal operator generated by a differential expression of the first order with operational coefficients. (English) Zbl 0507.35067 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 6, 12-14 (1982). MSC: 35P05 47E05 47A20 47B25 × Cite Format Result Cite Review PDF
Kochubej, A. N. Elliptic operators with boundary conditions on a subset of measure zero. (English. Russian original) Zbl 0506.35029 Funct. Anal. Appl. 16, 137-139 (1982); translation from Funkts. Anal. Prilozh. 16, No. 2, 74-75 (1982). MSC: 35J30 47A20 47B25 47F05 35R20 × Cite Format Result Cite Review PDF Full Text: DOI
Frentzen, Hilbert A limit-point criterion for real polynomials in symmetric quasi- differential expressions of arbitrary order. (English) Zbl 0505.34019 Quaest. Math. 5, 83-105 (1982). MSC: 34L99 × Cite Format Result Cite Review PDF Full Text: DOI
Filippenko, V. I. On the spectrum of a selfadjoint differential operator of the fourth order. (Russian) Zbl 0461.34017 Funkts. Anal. 14, 162-170 (1980). MSC: 34L99 34A30 47E05 34E05 47B25 × Cite Format Result Cite Review PDF
Mikhajlets, V. A. Spektralasymptotik allgemeiner glatter elliptischer Operatoren. (Russian) Zbl 0435.35060 Usp. Mat. Nauk 35, No. 1(211), 205-206 (1980). MSC: 35P20 35R20 × Cite Format Result Cite Review PDF
Everitt, W. N.; Zettl, A. Generalized symmetric ordinary differential expressions. I: The general theory. (English) Zbl 0451.34009 Nieuw Arch. Wiskd., III. Ser. 27, 363-397 (1979). MSC: 34A30 47B25 × Cite Format Result Cite Review PDF
Chen, Zhida Geometric field theory of finite deformation in continuum mechanics. (Chinese) Zbl 0444.73029 Acta Mech. Sin. 1979, 107-117 (1979). MSC: 74B20 × Cite Format Result Cite Review PDF
Brown, K. J.; Budin, H. On the existence of positive solutions for a class of semilinear elliptic boundary value problems. (English) Zbl 0414.35029 SIAM J. Math. Anal. 10, 875-883 (1979). MSC: 35J60 35J20 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, S. J. Perturbation of direct sum differential operators. (English) Zbl 0399.47041 Can. J. Math. 30, 600-630 (1978). MSC: 47E05 34B10 × Cite Format Result Cite Review PDF Full Text: DOI
Everitt, W. N.; Zettl, A. Products of differential expressions without smoothness assumptions. (English) Zbl 0397.34020 Quaest. Math. 3, 67-82 (1978). MSC: 34A30 34G10 34A25 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Russell, A. On a fourth-order singular integral inequality. (English) Zbl 0393.26007 Proc. R. Soc. Edinb., Sect. A 80, 249-260 (1978). MSC: 26D10 34B20 × Cite Format Result Cite Review PDF Full Text: DOI