Almenar, Pedro; Jódar, Lucas Estimation of the smallest eigenvalue of an \(n\)th-order linear boundary value problem. (English) Zbl 1478.34024 Math. Methods Appl. Sci. 44, No. 6, 4491-4514 (2021). Reviewer: Gang Meng (Beijing) MSC: 34B05 34B09 34B27 34L15 34L16 47A15 47A30 47B65 47N20 PDFBibTeX XMLCite \textit{P. Almenar} and \textit{L. Jódar}, Math. Methods Appl. Sci. 44, No. 6, 4491--4514 (2021; Zbl 1478.34024) Full Text: DOI
Rykhlov, V. S. On multiple completeness of root functions for ordinary differential polynomial pencils with constant coefficients. (English. Russian original) Zbl 1453.34030 J. Math. Sci., New York 250, No. 4, 683-704 (2020); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 2, 340-361 (2017). MSC: 34B09 34L10 47E05 PDFBibTeX XMLCite \textit{V. S. Rykhlov}, J. Math. Sci., New York 250, No. 4, 683--704 (2020; Zbl 1453.34030); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 2, 340--361 (2017) Full Text: DOI
Andres, Jan; Pavlackova, Martina Topological structure of solution sets to asymptotic \(n\)-th order vector boundary value problems. (English) Zbl 1413.34073 Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 70, 29 p. (2018). MSC: 34A60 34B15 34B40 47H04 PDFBibTeX XMLCite \textit{J. Andres} and \textit{M. Pavlackova}, Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 70, 29 p. (2018; Zbl 1413.34073) Full Text: DOI
Andres, Jan; Pavlackova, Martina Boundary value problems on noncompact intervals for the \(n\)-th order vector differential inclusions. (English) Zbl 1389.34098 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 60, 19 p. (2016). MSC: 34B40 34A60 34B15 47H04 47H11 PDFBibTeX XMLCite \textit{J. Andres} and \textit{M. Pavlackova}, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 60, 19 p. (2016; Zbl 1389.34098) Full Text: DOI
Agarwal, Ravi P.; Özbekler, Abdullah Lyapunov type inequalities for \(n\)th order forced differential equations with mixed nonlinearities. (English) Zbl 1361.34019 Commun. Pure Appl. Anal. 15, No. 6, 2281-2300 (2016). Reviewer: Antonio Cañada Villar (Granada) MSC: 34B15 26D10 34B27 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{A. Özbekler}, Commun. Pure Appl. Anal. 15, No. 6, 2281--2300 (2016; Zbl 1361.34019) Full Text: DOI
Cabada, Alberto; Saavedra, Lorena The eigenvalue characterization for the constant sign Green’s functions of \((k,n-k)\) problems. (English) Zbl 1343.34194 Bound. Value Probl. 2016, Paper No. 44, 35 p. (2016). Reviewer: Ekin Uğurlu (Ankara) MSC: 34L15 34B05 34B09 34B27 34C10 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{L. Saavedra}, Bound. Value Probl. 2016, Paper No. 44, 35 p. (2016; Zbl 1343.34194) Full Text: DOI arXiv
Xu, Jiafa; Yang, Zhilin Positive solutions for a system of nonlinear Hammerstein integral equations and applications. (English) Zbl 1238.45005 J. Integral Equations Appl. 24, No. 1, 131-147 (2012). MSC: 45G15 45M20 47H07 47H11 34A34 34B18 PDFBibTeX XMLCite \textit{J. Xu} and \textit{Z. Yang}, J. Integral Equations Appl. 24, No. 1, 131--147 (2012; Zbl 1238.45005) Full Text: DOI Euclid
Qi, Jianggang; Chen, Shaozhu On an open problem of Weidmann: essential spectra and square-integrable solutions. (English) Zbl 1237.47046 Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 2, 417-430 (2011). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 47E05 34B20 34L05 PDFBibTeX XMLCite \textit{J. Qi} and \textit{S. Chen}, Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 2, 417--430 (2011; Zbl 1237.47046) Full Text: DOI
Lan, K. Q. Multiple positive eigenvalues of conjugate boundary value problems with singularities. (English) Zbl 1085.34561 Discrete Contin. Dyn. Syst. 2003, Suppl. Vol., 501-506 (2003). Reviewer: Pierpaolo Omari (Trieste) MSC: 34L15 34B15 34B16 34B18 PDFBibTeX XMLCite \textit{K. Q. Lan}, Discrete Contin. Dyn. Syst. 2003, 501--506 (2003; Zbl 1085.34561)
Guo, Dajun A boundary value problem for \(n\)th order integro-differential equations in a Banach space. (English) Zbl 1030.45012 Appl. Math. Comput. 136, No. 2-3, 571-592 (2003). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 45N05 45G10 45J05 47H07 PDFBibTeX XMLCite \textit{D. Guo}, Appl. Math. Comput. 136, No. 2--3, 571--592 (2003; Zbl 1030.45012) Full Text: DOI
Rao, Aribindi Satyanarayan On an \(n\)th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution. (English) Zbl 1013.34060 Int. J. Math. Math. Sci. 32, No. 9, 573-578 (2002). MSC: 34G10 34C27 47D03 PDFBibTeX XMLCite \textit{A. S. Rao}, Int. J. Math. Math. Sci. 32, No. 9, 573--578 (2002; Zbl 1013.34060) Full Text: DOI EuDML
Cabada, Alberto; Nieto, Juan J. Fixed points and approximate solutions for nonlinear operator equations. (English) Zbl 0954.47038 J. Comput. Appl. Math. 113, No. 1-2, 17-25 (2000). Reviewer: Stefan Czerwik (Gliwice) MSC: 47H07 47H10 34B15 47J25 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{J. J. Nieto}, J. Comput. Appl. Math. 113, No. 1--2, 17--25 (2000; Zbl 0954.47038) Full Text: DOI
Henderson, J.; Yin, W. Positive solutions and nonlinear eigenvalue problems for functional-differential equations. (English) Zbl 0934.34056 Appl. Math. Lett. 12, No. 2, 63-68 (1999). MSC: 34K10 34L05 34K20 PDFBibTeX XMLCite \textit{J. Henderson} and \textit{W. Yin}, Appl. Math. Lett. 12, No. 2, 63--68 (1999; Zbl 0934.34056) Full Text: DOI
Pokornyi, Yu. V.; Lazarev, K. P.; Gareeva, T. M. On spectral properties of some nonlocal boundary value problems. (English. Russian original) Zbl 0952.34068 Differ. Equations 34, No. 1, 44-48 (1998); translation from Differ. Uravn. 34, No. 1, 45-49 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 34L20 34B05 47E05 PDFBibTeX XMLCite \textit{Yu. V. Pokornyi} et al., Differ. Equations 34, No. 1, 44--48 (1998; Zbl 0952.34068); translation from Differ. Uravn. 34, No. 1, 45--49 (1998)
El-Sayed Ibrahim, Sobhy On \(L_w^2\)-quasi-derivatives for solutions of perturbed general quasi-differential equations. (English) Zbl 0914.34005 Tamkang J. Math. 29, No. 3, 175-185 (1998). MSC: 34M99 47E05 34B20 34C11 34E10 34E15 34G10 47A55 34A05 PDFBibTeX XMLCite \textit{S. El-Sayed Ibrahim}, Tamkang J. Math. 29, No. 3, 175--185 (1998; Zbl 0914.34005) Full Text: EuDML
Gaudenzi, Marcellino On the number of zeros of solutions of a linear differential equation. (English) Zbl 0912.34066 J. Math. Anal. Appl. 221, No. 1, 306-325 (1998). Reviewer: M.Greguš (Bratislava) MSC: 34L05 34A30 PDFBibTeX XMLCite \textit{M. Gaudenzi}, J. Math. Anal. Appl. 221, No. 1, 306--325 (1998; Zbl 0912.34066) Full Text: DOI
Anderson, Terry G. Relatively bounded and compact perturbations of \(n\)th order differential operators. (English) Zbl 0907.47044 Int. J. Math. Math. Sci. 21, No. 1, 47-68 (1998). MSC: 47E05 47A53 34L99 46E35 47A55 PDFBibTeX XMLCite \textit{T. G. Anderson}, Int. J. Math. Math. Sci. 21, No. 1, 47--68 (1998; Zbl 0907.47044) Full Text: DOI EuDML
Gorelov, V. A. Replacement of finitely many elements in a system of root functions of a differential operator with preservation of the basis property. (English. Russian original) Zbl 0909.34072 Differ. Equations 33, No. 1, 32-37 (1997); translation from Differ. Uravn. 33, No. 1, 33-38 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34L10 40A05 47E05 PDFBibTeX XMLCite \textit{V. A. Gorelov}, Differ. Equations 33, No. 1, 32--37 (1997; Zbl 0909.34072); translation from Differ. Uravn. 33, No. 1, 33--38 (1997)
Sáenz, A. W. Long-time approximation to the evolution of resonant and nonresonant anharmonic oscillators in quantum mechanics. (English) Zbl 0872.34060 J. Math. Phys. 37, No. 5, 2182-2205 (1996); erratum ibid. 38, No. 8, 4398 (1997). Reviewer: N.D.Sengupta (Bombay) MSC: 34L40 81Q15 47N50 34E10 PDFBibTeX XMLCite \textit{A. W. Sáenz}, J. Math. Phys. 37, No. 5, 2182--2205 (1996; Zbl 0872.34060) Full Text: DOI
Rykhlov, Viktor Equiconvergence rate in terms of general moduli of continuity for differential operators. (English) Zbl 0848.34066 Result. Math. 29, No. 1-2, 153-168 (1996). Reviewer: M.Möller (Regensburg) MSC: 34L10 47E05 PDFBibTeX XMLCite \textit{V. Rykhlov}, Result. Math. 29, No. 1--2, 153--168 (1996; Zbl 0848.34066) Full Text: DOI
El-Sayed Ibrahim, Sobhy Perturbation of nonselfadjoint differential equations. (English) Zbl 0931.34074 Far East J. Math. Sci. 4, No. 1, 23-37 (1996). MSC: 34M60 47E05 34M25 34M35 PDFBibTeX XMLCite \textit{S. El-Sayed Ibrahim}, Far East J. Math. Sci. 4, No. 1, 23--37 (1996; Zbl 0931.34074)
Kritskov, L. V. Distribution of the eigenvalues for uniformly minimal systems of root functions of ordinary differential operators. (English. Russian original) Zbl 0874.34066 Differ. Equations 32, No. 1, 64-72 (1996); translation from Differ. Uravn. 32, No. 1, 62-70 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34L05 47E05 PDFBibTeX XMLCite \textit{L. V. Kritskov}, Differ. Equations 32, No. 1, 64--72 (1996; Zbl 0874.34066); translation from Differ. Uravn. 32, No. 1, 62--70 (1996)
Dyadechko, A. V. Some estimates for root functions of a matrix differential operator with diagonal-matrix eigenvalue. (English. Russian original) Zbl 0877.34056 Differ. Equations 32, No. 1, 22-31 (1996); translation from Differ. Uravn. 32, No. 1, 22-31 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34L05 47E05 34L15 PDFBibTeX XMLCite \textit{A. V. Dyadechko}, Differ. Equations 32, No. 1, 22--31 (1996; Zbl 0877.34056); translation from Differ. Uravn. 32, No. 1, 22--31 (1996)
Bagrov, V. G.; Samsonov, B. F. Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics. (English. Russian original) Zbl 0857.34070 Theor. Math. Phys. 104, No. 2, 1051-1060 (1995); translation from Teor. Mat. Fiz. 104, No. 2, 356-367 (1995). MSC: 34L40 81U40 34A25 17A70 PDFBibTeX XMLCite \textit{V. G. Bagrov} and \textit{B. F. Samsonov}, Theor. Math. Phys. 104, No. 2, 1051--1060 (1995; Zbl 0857.34070); translation from Teor. Mat. Fiz. 104, No. 2, 356--367 (1995) Full Text: DOI
El-Sayed Ibrahim, Sobhy The point spectra and regularity fields of non-selfadjoint quasi- differential operators. (English) Zbl 0832.47043 Rocky Mt. J. Math. 25, No. 2, 685-699 (1995). MSC: 47E05 47A10 34G20 PDFBibTeX XMLCite \textit{S. El-Sayed Ibrahim}, Rocky Mt. J. Math. 25, No. 2, 685--699 (1995; Zbl 0832.47043) Full Text: DOI
Berkovich, L. M. The method of an exact linearization of \(n\)th-order ordinary differential equations. (Russian. English summary) Zbl 0996.34004 Vestn. Samar. Gos. Univ., Mat. Mekh. Fiz. Khim. Biol. 1995, Spec. Iss., 6-14 (1995). MSC: 34A25 34C20 PDFBibTeX XMLCite \textit{L. M. Berkovich}, Vestn. Samar. Gos. Univ., Mat. Mekh. Fiz. Khim. Biol. 1995, 6--14 (1995; Zbl 0996.34004)
Diaz, Jerry; Peterson, Allan Comparison theorems for a right disfocal eigenvalue problem. (English) Zbl 0882.34079 Agarwal, R. P. (ed.), Inequalities and applications. Dedicated to Wolfgang Walter’s 66th birthday with a tribute by R. M. Redheffer. Singapore: World Scientific. World Sci. Ser. Appl. Anal. 3, 149-177 (1994). MSC: 34L05 PDFBibTeX XMLCite \textit{J. Diaz} and \textit{A. Peterson}, World Sci. Ser. Appl. Anal. 3, 149--177 (1994; Zbl 0882.34079)
Joó, I.; Tahir, M. B.; Szabó, S. A basis theorem for ordinary differential operator of \(n\)th order. (English) Zbl 0804.34073 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 36, 103-127 (1993). Reviewer: P.Bolley (Nantes) MSC: 34L10 PDFBibTeX XMLCite \textit{I. Joó} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 36, 103--127 (1993; Zbl 0804.34073)
Dang Dinh Hai; Schmitt, Klaus Boundary value problem for higher order nonlinear differential equations. (English) Zbl 0789.34024 Nonlinear Anal., Theory Methods Appl. 21, No. 4, 293-305 (1993). Reviewer: A.Boucherif (Tlemcen) MSC: 34B15 34B10 34G20 47J05 PDFBibTeX XMLCite \textit{Dang Dinh Hai} and \textit{K. Schmitt}, Nonlinear Anal., Theory Methods Appl. 21, No. 4, 293--305 (1993; Zbl 0789.34024) Full Text: DOI
Minkin, Arcady On one class of regular boundary conditions. (English) Zbl 0789.34069 Result. Math. 24, No. 3-4, 274-279 (1993). Reviewer: T.Regińska (Warszawa) MSC: 34L10 47E05 PDFBibTeX XMLCite \textit{A. Minkin}, Result. Math. 24, No. 3--4, 274--279 (1993; Zbl 0789.34069) Full Text: DOI
Sattinger, D. H.; Szmigielski, J. S. Factorization and the dressing method for the Gel’fand-Dikii hierarchy. (English) Zbl 0770.34060 Physica D 64, No. 1-3, 1-34 (1993). MSC: 34L40 34C20 PDFBibTeX XMLCite \textit{D. H. Sattinger} and \textit{J. S. Szmigielski}, Physica D 64, No. 1--3, 1--34 (1993; Zbl 0770.34060) Full Text: DOI arXiv
Jódar, Lucas On \(n\)-th order differential and difference operator equations: Explicit solutions. (English) Zbl 0781.47025 Glas. Mat., III. Ser. 27, No. 1, 85-99 (1992). Reviewer: J.Achari (Nanded) MSC: 47A62 34B05 47A56 47A60 PDFBibTeX XMLCite \textit{L. Jódar}, Glas. Mat., III. Ser. 27, No. 1, 85--99 (1992; Zbl 0781.47025)
Almamedov, M. S.; Bajramogly, M.; Katanova, V. I. Trace formulas for a differential equation of even order with unbounded operator coefficient. (English. Russian original) Zbl 0765.34059 Sov. Math., Dokl. 43, No. 2, 406-410 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 3, 521-525 (1991). Reviewer: G.Moroşanu (Iaşi) MSC: 34L05 47E05 47A75 PDFBibTeX XMLCite \textit{M. S. Almamedov} et al., Sov. Math., Dokl. 43, No. 2, 406--410 (1991; Zbl 0765.34059); translation from Dokl. Akad. Nauk SSSR 317, No. 3, 521--525 (1991)
Deift, Percy; Zhou, Xin Direct and inverse scattering on the line with arbitrary singularities. (English) Zbl 0734.34073 Commun. Pure Appl. Math. 44, No. 5, 485-533 (1991). Reviewer: G.Moroşanu (Iaşi) MSC: 34L25 34A55 PDFBibTeX XMLCite \textit{P. Deift} and \textit{X. Zhou}, Commun. Pure Appl. Math. 44, No. 5, 485--533 (1991; Zbl 0734.34073) Full Text: DOI
Malamud, M. M. On the question of transformation operators for ordinary differential equations. (English. Russian original) Zbl 0745.34030 Trans. Mosc. Math. Soc. 1991, 69-99 (1991); translation from Tr. Mosk. Mat. O.-va 53, 68-97 (1990). MSC: 34C20 34L05 PDFBibTeX XMLCite \textit{M. M. Malamud}, Trans. Mosc. Math. Soc. 1991, 69--99 (1990; Zbl 0745.34030); translation from Tr. Mosk. Mat. O.-va 53, 68--97 (1990)
Malamud, M. M. To the question on transformation operators for ordinary differential equations. (Russian) Zbl 0728.34036 Tr. Mosk. Mat. O.-va 53, 68-97 (1990). Reviewer: L.M.Berkovich (Kujbyshev) MSC: 34C20 34L05 PDFBibTeX XMLCite \textit{M. M. Malamud}, Tr. Mosk. Mat. O.-va 53, 68--97 (1990; Zbl 0728.34036)
Berkovich, L. M. Factorization of ordinary linear differential operators in extensions of the basic differential field. (Russian) Zbl 0743.34018 Arithmetic and geometry of manifolds, Interuniv. Collect. Sci. Works, Kujbyshev, 3-25 (1989). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 34A25 12H05 34A30 13N10 PDFBibTeX XMLCite \textit{L. M. Berkovich}, in: Surfaces of type T with given sum of principal curvature radii. . 3--25 (1989; Zbl 0743.34018)
Kiguradze, I. T. A priori bounds for solutions of high-order nonlinear differential inequalities. (English. Russian original) Zbl 0573.34011 Differ. Equations 21, 136-149 (1985); translation from Differ. Uravn. 21, No. 2, 198-213 (1985). Reviewer: D.Bajnov MSC: 34A40 34B15 34A34 26D10 PDFBibTeX XMLCite \textit{I. T. Kiguradze}, Differ. Equations 21, 136--149 (1985; Zbl 0573.34011); translation from Differ. Uravn. 21, No. 2, 198--213 (1985)
Pachpatte, B. G. A note on some \(n\)-th order integrodifferential inequalities. (English) Zbl 0599.26027 Acta Cienc. Indica 10, 8-12 (1984). Reviewer: I.Raşa MSC: 26D10 45J05 PDFBibTeX XMLCite \textit{B. G. Pachpatte}, Acta Cienc. Indica, Math. 10, 8--12 (1984; Zbl 0599.26027)
Perri, Emilia Asymptotic and oscillatory properties for the solutions of a class of \(n\)th order differential equations. (English) Zbl 0535.34043 Nonlinear Anal., Theory Methods Appl. 8, 181-191 (1984). MSC: 34E99 34C10 PDFBibTeX XMLCite \textit{E. Perri}, Nonlinear Anal., Theory Methods Appl. 8, 181--191 (1984; Zbl 0535.34043) Full Text: DOI
Kolosov, A. I. An approach to the investigation of monotonic solutions of n-th-order nonlinear ordinary differential equations. (English) Zbl 0434.34017 Differ. Equations 15, 272-276 (1979). MSC: 34B15 45D05 47H07 34A34 PDFBibTeX XMLCite \textit{A. I. Kolosov}, Differ. Equations 15, 272--276 (1979; Zbl 0434.34017)
Gurevich, A. P. On a generalization of a regular boundary value problem for an ordinary differential equation of ”n”-th order. (English) Zbl 0405.34029 Differ. Equat. Comput. Math., Saratov, Inter-univ. Sci. Collect. 6, Part 2, 43-55 (1976). MSC: 34L99 34B10 47A70 PDFBibTeX XML