Polyakov, D. M. Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter. (English) Zbl 07823319 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 25, 26 p. (2024). MSC: 34L20 34B08 34B09 PDFBibTeX XMLCite \textit{D. M. Polyakov}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 25, 26 p. (2024; Zbl 07823319) Full Text: DOI
Aliyev, Ziyatkhan S.; Aliyeva, Yagut N. Global bifurcation results for some fourth-order nonlinear eigenvalue problem with a spectral parameter in the boundary condition. (English) Zbl 1527.34050 Math. Methods Appl. Sci. 46, No. 1, 1282-1294 (2023). MSC: 34B24 34C23 34L15 34L30 47J10 47J15 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{Y. N. Aliyeva}, Math. Methods Appl. Sci. 46, No. 1, 1282--1294 (2023; Zbl 1527.34050) Full Text: DOI
Polyakov, D. M. The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition. (English. Russian original) Zbl 1521.34020 Sib. Math. J. 64, No. 3, 649-669 (2023); translation from Sib. Mat. Zh. 64, No. 3, 611-634 (2023). Reviewer: Rakib Efendiev (Baku) MSC: 34B09 34B05 34L15 34L20 34L05 PDFBibTeX XMLCite \textit{D. M. Polyakov}, Sib. Math. J. 64, No. 3, 649--669 (2023; Zbl 1521.34020); translation from Sib. Mat. Zh. 64, No. 3, 611--634 (2023) Full Text: DOI
Namazov, Faiq M. Location of eigenvalues and structures of root subspaces of some spectral problem for the equation of a vibrating rod. (English) Zbl 1513.34090 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 42, No. 1, Math., 162-171 (2022). MSC: 34B09 34B05 34B08 34L10 34L15 PDFBibTeX XMLCite \textit{F. M. Namazov}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 42, No. 1, Math., 162--171 (2022; Zbl 1513.34090) Full Text: Link
Aliev, Z. S.; Abdullaeva, K. F. Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter. (English. Russian original) Zbl 1510.34040 Differ. Equ. 58, No. 9, 1153-1174 (2022); translation from Differ. Uravn. 58, No. 9, 1165-1185 (2022). Reviewer: Andreas Fleige (Dortmund) MSC: 34B09 34L10 34L15 34L20 PDFBibTeX XMLCite \textit{Z. S. Aliev} and \textit{K. F. Abdullaeva}, Differ. Equ. 58, No. 9, 1153--1174 (2022; Zbl 1510.34040); translation from Differ. Uravn. 58, No. 9, 1165--1185 (2022) Full Text: DOI
Aliyev, Ziyatkhan S.; Mamedova, Gunay T. Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions. (English) Zbl 1500.34020 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 780-801 (2022). Reviewer: Rodica Luca (Iaşi) MSC: 34B09 34B05 34C10 34L15 34L20 47A75 74K10 34L10 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{G. T. Mamedova}, Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 780--801 (2022; Zbl 1500.34020) Full Text: DOI
Mehrabov, Vuqar A. Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions. (English) Zbl 1485.34087 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 741-766 (2022). MSC: 34B09 34L10 34L15 47A75 47B50 74H45 PDFBibTeX XMLCite \textit{V. A. Mehrabov}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 741--766 (2022; Zbl 1485.34087) Full Text: DOI
Namazov, Faiq Mirzali Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter. (English) Zbl 1456.34018 Bull. Iran. Math. Soc. 47, No. 1, 225-235 (2021). MSC: 34B05 34B24 34L10 34L20 34B08 34L15 PDFBibTeX XMLCite \textit{F. M. Namazov}, Bull. Iran. Math. Soc. 47, No. 1, 225--235 (2021; Zbl 1456.34018) Full Text: DOI
Abdullayeva, Konul F. Uniform convergence of the Fourier series expansions in the subsystems of root functions of some spectral problem for ordinary differential equations of fourth order. (English) Zbl 1513.34079 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 40, No. 4, Math., 4-12 (2020). MSC: 34B09 34L10 34L15 42A16 PDFBibTeX XMLCite \textit{K. F. Abdullayeva}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 40, No. 4, Math., 4--12 (2020; Zbl 1513.34079) Full Text: DOI
Gao, Chenghua; Wang, Yali; Lv, Li Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions. (English) Zbl 1499.39057 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 3, 755-781 (2020). MSC: 39A27 39A21 34B24 39A12 PDFBibTeX XMLCite \textit{C. Gao} et al., Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 3, 755--781 (2020; Zbl 1499.39057) Full Text: DOI
Gao, Chenghua; Ran, Maojun Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition. (English) Zbl 1484.34192 AIMS Math. 5, No. 2, 904-922 (2020). MSC: 34L20 34B07 34L10 PDFBibTeX XMLCite \textit{C. Gao} and \textit{M. Ran}, AIMS Math. 5, No. 2, 904--922 (2020; Zbl 1484.34192) Full Text: DOI
Abdullayeva, Konul F.; Aliyev, Ziyatkhan S.; Kerimov, Nazim B. On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated. (English) Zbl 1461.34040 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 46, No. 2, 226-242 (2020). MSC: 34B05 34B08 34B24 34L10 34L20 PDFBibTeX XMLCite \textit{K. F. Abdullayeva} et al., Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 46, No. 2, 226--242 (2020; Zbl 1461.34040) Full Text: DOI
Aliyev, Z. S.; Namazov, F. M. Basis properties of root functions of a vibrational boundary value problem with boundary conditions depending on the spectral parameter. (English. Russian original) Zbl 1447.74016 Differ. Equ. 56, No. 8, 969-975 (2020); translation from Differ. Uravn. 56, No. 8, 995-1000 (2020). MSC: 74H45 74K10 74H10 34L10 34L20 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{F. M. Namazov}, Differ. Equ. 56, No. 8, 969--975 (2020; Zbl 1447.74016); translation from Differ. Uravn. 56, No. 8, 995--1000 (2020) Full Text: DOI
Aliyev, Z. S.; Kerimov, N. B.; Mehrabov, V. A. Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I. (English. Russian original) Zbl 1444.34035 Differ. Equ. 56, No. 2, 143-157 (2020); translation from Differ. Uravn. 56, No. 2, 147-161 (2020). MSC: 34B09 34B05 34L10 34L15 PDFBibTeX XMLCite \textit{Z. S. Aliyev} et al., Differ. Equ. 56, No. 2, 143--157 (2020; Zbl 1444.34035); translation from Differ. Uravn. 56, No. 2, 147--161 (2020) Full Text: DOI
Aliyev, Ziyatkhan S.; Namazov, Faiq M. Spectral properties of the equation of a vibrating rod at both ends of which the masses are concentrated. (English) Zbl 1441.34032 Banach J. Math. Anal. 14, No. 2, 585-606 (2020). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B09 34B05 34B08 34L10 34L15 47A75 47B50 74K10 74H45 34L20 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{F. M. Namazov}, Banach J. Math. Anal. 14, No. 2, 585--606 (2020; Zbl 1441.34032) Full Text: DOI
Aliyev, Ziyatkhan S.; Mamedova, Gunay T. Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions. (English) Zbl 1437.34082 J. Differ. Equations 269, No. 2, 1383-1400 (2020). MSC: 34L10 34B05 34B08 34B09 34C10 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{G. T. Mamedova}, J. Differ. Equations 269, No. 2, 1383--1400 (2020; Zbl 1437.34082) Full Text: DOI
Aliyev, Z. S.; Manafova, P. R. Oscillation properties for the Dirac equation with spectral parameter in the boundary condition. (English) Zbl 1432.34035 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1449-1463 (2020). MSC: 34B24 34A55 34A30 34B05 34B09 34C10 34K11 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{P. R. Manafova}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1449--1463 (2020; Zbl 1432.34035) Full Text: DOI
Aliyev, Ziyatkhan S.; Namazov, Faiq M. On the spectral problem arising in the mathematical model of bending vibrations of a homogeneous rod. (English) Zbl 1490.34023 Complex Anal. Oper. Theory 13, No. 8, 3675-3693 (2019). MSC: 34B09 34L15 34L10 74K10 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{F. M. Namazov}, Complex Anal. Oper. Theory 13, No. 8, 3675--3693 (2019; Zbl 1490.34023) Full Text: DOI
Shkalikov, A. A. Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. (English. Russian original) Zbl 1422.34249 Differ. Equ. 55, No. 5, 631-643 (2019); translation from Differ. Uravn. 55, No. 5, 647-659 (2019). MSC: 34L10 46B15 PDFBibTeX XMLCite \textit{A. A. Shkalikov}, Differ. Equ. 55, No. 5, 631--643 (2019; Zbl 1422.34249); translation from Differ. Uravn. 55, No. 5, 647--659 (2019) Full Text: DOI
Aliyev, Ziyatkhan S.; Guliyeva, Sevinc B. Spectral properties of a fourth order eigenvalue problem with spectral parameter in the boundary conditions. (English) Zbl 1499.34133 Filomat 32, No. 7, 2421-2431 (2018). MSC: 34B09 34L15 34B08 34C10 34L10 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{S. B. Guliyeva}, Filomat 32, No. 7, 2421--2431 (2018; Zbl 1499.34133) Full Text: DOI
Gao, Chenghua; Li, Xiaolong; Ma, Ruyun Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition. (English) Zbl 1401.34095 Mediterr. J. Math. 15, No. 3, Paper No. 107, 14 p. (2018). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34L15 34L05 34L10 34B09 PDFBibTeX XMLCite \textit{C. Gao} et al., Mediterr. J. Math. 15, No. 3, Paper No. 107, 14 p. (2018; Zbl 1401.34095) Full Text: DOI
Aliyev, Ziyatkhan S.; Guliyeva, Sevinc B. Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load. (English) Zbl 1412.34079 J. Differ. Equations 263, No. 9, 5830-5845 (2017). Reviewer: Rakib Efendiev (Baku) MSC: 34B09 34B05 34B24 34L10 34L15 74K10 74H45 PDFBibTeX XMLCite \textit{Z. S. Aliyev} and \textit{S. B. Guliyeva}, J. Differ. Equations 263, No. 9, 5830--5845 (2017; Zbl 1412.34079) Full Text: DOI
Aliyev, Ziyatkhan S.; Dunyamaliyeva, Aida A.; Mehraliyev, Yashar T. Basis properties in \({L}_{p}\) of root functions of Sturm-Liouville problem with spectral parameter-dependent boundary conditions. (English) Zbl 1376.34068 Mediterr. J. Math. 14, No. 3, Paper No. 131, 23 p. (2017). MSC: 34L10 34B05 34B08 34B24 47A75 PDFBibTeX XMLCite \textit{Z. S. Aliyev} et al., Mediterr. J. Math. 14, No. 3, Paper No. 131, 23 p. (2017; Zbl 1376.34068) Full Text: DOI
Aliyev, Ziyatkhan S. Some global results for nonlinear fourth order eigenvalue problems. (English) Zbl 1305.34033 Cent. Eur. J. Math. 12, No. 12, 1811-1828 (2014). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B09 34C23 34L15 34L30 47J10 47J15 34B24 PDFBibTeX XMLCite \textit{Z. S. Aliyev}, Cent. Eur. J. Math. 12, No. 12, 1811--1828 (2014; Zbl 1305.34033) Full Text: DOI
Aliev, Z. S.; Dun’yamalieva, A. A. Basis properties of root functions of the Sturm-Liouville problem with a spectral parameter in the boundary conditions. (English. Russian original) Zbl 1283.34076 Dokl. Math. 88, No. 1, 441-445 (2013); translation from Dokl. Akad. Nauk, 451, No. 5, 487-491 (2013). Reviewer: Rakib Efendiev (Baku) MSC: 34L10 34B24 PDFBibTeX XMLCite \textit{Z. S. Aliev} and \textit{A. A. Dun'yamalieva}, Dokl. Math. 88, No. 1, 441--445 (2013; Zbl 1283.34076); translation from Dokl. Akad. Nauk, 451, No. 5, 487--491 (2013) Full Text: DOI