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dc.contributor.author | Almenar, Pedro | es_ES |
dc.contributor.author | Jódar Sánchez, Lucas Antonio | es_ES |
dc.date.accessioned | 2022-04-05T06:28:28Z | |
dc.date.available | 2022-04-05T06:28:28Z | |
dc.date.issued | 2021-10-14 | es_ES |
dc.identifier.issn | 1687-2762 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/181755 | |
dc.description.abstract | [EN] The purpose of this paper is to present a procedure for the estimation of the smallest eigenvalues and their associated eigenfunctions of nth order linear boundary value problems with homogeneous boundary conditions defined in terms of quasi-derivatives. The procedure is based on the iterative application of the equivalent integral operator to functions of a cone and the calculation of the Collatz-Wielandt numbers of such functions. Some results on the sign of the Green functions of the boundary value problems are also provided. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer (Biomed Central Ltd.) | es_ES |
dc.relation.ispartof | Boundary Value Problems | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Eigenvalue | es_ES |
dc.subject | Boundary value problem | es_ES |
dc.subject | Quasi-derivatives | es_ES |
dc.subject | Green function | es_ES |
dc.subject | Cone theory | es_ES |
dc.subject | Collatz-Wielandt numbers | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | The principal eigenvalue of some nth order linear boundary value problems | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1186/s13661-021-01561-2 | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Almenar, P.; Jódar Sánchez, LA. (2021). The principal eigenvalue of some nth order linear boundary value problems. Boundary Value Problems. 2021:1-16. https://doi.org/10.1186/s13661-021-01561-2 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1186/s13661-021-01561-2 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 16 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 2021 | es_ES |
dc.relation.pasarela | S\456090 | es_ES |
dc.description.references | Pólya, G.: On the mean value theorem corresponding to a given linear homogeneous differential operator. Trans. Am. Math. Soc. 24, 312–324 (1924) | es_ES |
dc.description.references | Elias, U.: Oscillation Theory of Two-Term Differential Equations. Kluwer Academic, Dordrecht (1997) | es_ES |
dc.description.references | Ahmad, S., Lazer, A.C.: On nth order Sturmian theory. J. Differ. Equ. 35, 87–112 (1980) | es_ES |
dc.description.references | Butler, G.J., Erbe, L.H.: Integral comparison theorems and extremal points for linear differential equations. J. Differ. Equ. 47, 214–226 (1983) | es_ES |
dc.description.references | Elias, U.: Eigenvalue problems for the equation $ly + \lambda p(x) y =0$. J. Differ. Equ. 29, 28–57 (1978) | es_ES |
dc.description.references | Gaudenzi, M.: On an eigenvalue problem of Ahmad and Lazer for ordinary differential equations. Proc. Am. Math. Soc. 99(2), 237–243 (1987) | es_ES |
dc.description.references | Joseph, D.D.: Stability of Fluid Motions I. Springer, Berlin (1976) | es_ES |
dc.description.references | Erbe, L.H.: Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems. Math. Comput. Model. 32(5–6), 529–539 (2000) | es_ES |
dc.description.references | Webb, J.R.L., Lan, K.Q.: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type. Topol. Methods Nonlinear Anal. 27, 91–116 (2006) | es_ES |
dc.description.references | Lan, K.Q.: Eigenvalues of semi-positone Hammerstein integral equations and applications to boundary value problems. Nonlinear Anal. 71(12), 5979–5993 (2009) | es_ES |
dc.description.references | Webb, J.R.L.: A class of positive linear operators and applications to nonlinear boundary value problems. Topol. Methods Nonlinear Anal. 39, 221–242 (2012) | es_ES |
dc.description.references | Ciancaruso, F.: Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria. J. Math. Anal. Appl. 482(1), 123547 (2020). https://doi.org/10.1016/j.jmaa.2019.123547 | es_ES |
dc.description.references | Forster, K.H., Nagy, B.: On the Collatz–Wielandt numbers and the local spectral radius of a nonnegative operator. Linear Algebra Appl. 120, 193–205 (1989) | es_ES |
dc.description.references | Collatz, L.: Einschliessungssatze fur charakteristische zhalen von matrizen. Math. Z. 48, 221–226 (1942) | es_ES |
dc.description.references | Wielandt, H.: Unzerlegbare, nicht negative matrizen. Math. Z. 52, 642–648 (1950) | es_ES |
dc.description.references | Marek, I., Varga, R.S.: Nested bounds for the spectral radius. Numer. Math. 14, 49–70 (1969) | es_ES |
dc.description.references | Marek, I.: Frobenius theory of positive operators: comparison theorems and applications. SIAM J. Appl. Math. 19, 607–628 (1970) | es_ES |
dc.description.references | Marek, I.: Collatz–Wielandt numbers in general partially ordered spaces. Linear Algebra Appl. 173, 165–180 (1992) | es_ES |
dc.description.references | Akian, M., Gaubert, S., Nussbaum, R.: A Collatz–Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones, 1–24 (2014). arXiv:1112.5968v1 [math.FA] | es_ES |
dc.description.references | Chang, K.C.: Nonlinear extensions of the Perron–Frobenius theorem and the Krein–Rutman theorem. J. Fixed Point Theory Appl. 15, 433–457 (2014) | es_ES |
dc.description.references | Thieme, H.R.: Spectral radii and Collatz–Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. In: de Jeu, M., de Pagter, O.V.G.B., Veraar, M. (eds.) Ordered Structures and Applications. Trends in Mathematics, pp. 415–467 (2016) | es_ES |
dc.description.references | Chang, K.C., Wang, X., Wu, X.: On the spectral theory of positive operators and PDE applications. Discrete Contin. Dyn. Syst. 40(6), 3171–3200 (2020). https://doi.org/10.3934/dcds.2020054 | es_ES |
dc.description.references | Webb, J.R.L.: Estimates of eigenvalues of linear operators associated with nonlinear boundary value problems. Dyn. Syst. Appl. 23, 415–430 (2014) | es_ES |
dc.description.references | Almenar, P., Jódar, L.: Estimation of the smallest eigenvalue of an nth order linear boundary value problem. Math. Methods Appl. Sci. 44, 4491–4514 (2021). https://doi.org/10.1002/mma.7047 | es_ES |
dc.description.references | Diaz, G.: Applications of cone theory to boundary value problems. PhD thesis, University of Nebraska-Lincoln (1989) | es_ES |
upv.costeAPC | 1627,45 | es_ES |