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Positive solution for singular third-order BVPs on the half line with first-order derivative dependence


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[1] R. P. Agarwal and D. O’Regan, Infinite interval problems for differential, difference and integral equations, Kluwer Academic Publisher, Dordrecht, 2001.10.1007/978-94-010-0718-4 Search in Google Scholar

[2] C. Bai and C. Li, Unbounded upper and lower solution method for third-order boundary value problem on the half-line, Electron. J. Differential Equations, 2009 No. 119 (2009), 1–12. Search in Google Scholar

[3] Z. Benbaaziz and S. Djebali, On a singular multi-point third-order boundary value problem on the half-line, Mathematica Bohemica, (2019), DOI: 10.21136/MB.2019.0084-18.10.21136/MB.2019.0084-18 Search in Google Scholar

[4] F. Bernis and L. A. Petelier,Two problems from draining flows involving third-order ordinary differential equations, SIAM J. Math. Anal., 27 No. 2 (1996), 515–527. Search in Google Scholar

[5] C. Corduneanu, Integral Equations and Stability of Feedback Systems, Academic Press, New York, 1973. Search in Google Scholar

[6] S. Djebali and O. Saifi, Singular ϕ-Laplacian third-order BVPs with derivative dependence, Arch. Math. (Brno), 52 (2016), 35–48.10.5817/AM2016-1-35 Search in Google Scholar

[7] S. Djebali and O. Saifi, Upper and lower solution for ϕ-Laplacian third-order BVPs on the half-line, Cubo A Mathematical Journal, 16 No. 1 (2014), 105–116. Search in Google Scholar

[8] S. Djebali and O. Saifi, Third order BVPs with ϕ-Laplacian operators on [0, + ∞), Afr. Diaspora J. Math., 16 No. 1 (2013), 1–17. Search in Google Scholar

[9] S. Djebali and O. Saifi, Positive solutions for singular BVPs with sign changing and derivative depending nonlinearity on the half-line, Acta Appl. Math., 110 (2010), 639–665.10.1007/s10440-009-9466-9 Search in Google Scholar

[10] X. Feng, H. Feng and H. Tan, Existence and iteration of positive solutions for third-order Sturm-Liouville boundary value problem, Appl. Math. Comput., 266 (2015), 634–641. Search in Google Scholar

[11] Y. Feng, On the existence and multiplicity of positive periodic solutions of a nonlinear third-order equation, Appl. Math. Lett., 22 (2009), 1220–1224.10.1016/j.aml.2009.01.034 Search in Google Scholar

[12] D. Fu and W. Ding, Existence of positive solutions for third-order boundary value problem with integral boundary conditions in Banach spaces, Adv. Difference Equ., 2013, 2013:65.10.1186/1687-1847-2013-65 Search in Google Scholar

[13] J. R. Graef, L. Kong and B. Yong, Positive solutions for third-order multi-point singular boundary value problems, Czechoslovak Math. J., 60 No. 135 (2010), 173–182. Search in Google Scholar

[14] Y. Guo, Y. Liu and Y. Liang, Positive solutions for the third-order boundary value problems with the second derivatives, Bound. Value Probl., 2012, 2012:34.10.1186/1687-2770-2012-34 Search in Google Scholar

[15] N. Finizio and G. Ladas, Ordinary Differential Equations with Modern Applications, Third Edition, Wadsworth Pub. Co., Belmont, 1988. Search in Google Scholar

[16] S.[A. Iyase, On a third-order three point boundary value problem at resonance on the half-line, Arab. J. Math. (2019), 8:43–53.10.1007/s40065-018-0209-5 Search in Google Scholar

[17] D. Krajcinovic, Sandwich Beam Analysis, Appl. Mech., 1 No. 39, (1972), 773–778.10.1115/1.3422787 Search in Google Scholar

[18] Y. Kuramoto and T. Yamada, Turbulent state in chemical reaction, Progress of Theoretical Physics, 56 (1976), 679.10.1143/PTP.56.679 Search in Google Scholar

[19] H. Lian and J. Zhao, Existence of unbounded solution for a third-order boundary value problem on infinite intervals, Discrete Dyn. Nat. Soc., Vol. 2012, Article ID 357697, 14 pages, doi:101155/2012/10.1155/2012/357697 Search in Google Scholar

[20] S. Liang and J. Zhang, Positive solutions for singular third-order boundary-value problem with dependence on the first order derivative on the half-line, Acta. Appl. Math., 111 (2010), 27–43.10.1007/s10440-009-9528-z Search in Google Scholar

[21] Z. Liu, H. Chen and C. Liu, Positive solutions for singular third-order nonhomogeneous boundary value problems, J. Appl. Math. Comput., 38 (2012), 161–172.10.1007/s12190-010-0470-z Search in Google Scholar

[22] H. P. McKean, Nagumo’s equation, Advances in Mathematics, 4 (1970), 209–223.10.1016/0001-8708(70)90023-X Search in Google Scholar

[23] D. Michelson, Steady solutions of the Kuramoto-Sivashinsky equation, Physica D, 19 (1986), 89–111.10.1016/0167-2789(86)90055-2 Search in Google Scholar

[24] P. K. Palamides and R. P. Agarwal, An existence result for a singular third-order boundary value problem on [0, + ∞), Appl. Math. Lett., 21 (2008), 1254–1259.10.1016/j.aml.2007.11.001 Search in Google Scholar

[25] H. Pang, W. Xie and L. Cao, Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions, Bound. Value Probl., (2015), 2015:39.10.1186/s13661-015-0402-9 Search in Google Scholar

[26] H. Shi, M. Pei and L. Wang, Solvability of a third-order three point boundary value problem on a half-line, Bull. Malays. Math. Sci. Soc., 38 No. 3 (2015), 909–926. Search in Google Scholar

[27] Y. Sun, Triple positive solutions for a class of third-order p-Laplacian singular boundary value problems, J. Appl. Math. Comput., 37 (2011), 587–599.10.1007/s12190-010-0452-1 Search in Google Scholar

[28] Z. Wei, Some necessary and sufficient conditions for existence of positive solutions for third-order singular sublinear multi-point boundary value problems, Acta Math. Sin., 34 B (6) (2014), 1795–1810.10.1016/S0252-9602(14)60124-7 Search in Google Scholar

[29] Z. Wei, Some necessary and sufficient conditions for existence of positive solutions for third-order singular super-linear multi-point boundary value problems, J. Appl. Math. Comput., 46 (2014), 407–422.10.1007/s12190-014-0756-7 Search in Google Scholar

[30] Y. Wu and Z. Zhao, Positive solutions for a third-order boundary value problems with change of signs, Appl. Math. Comput., 218 (2011), 2744–2749. Search in Google Scholar

[31] J. Zhang, Z. Wei and W. Dong, The method of lower and upper solutions for third-order singular four-point boundary value problems, J. Appl. Math. Comput., 36 (2011), 275–289.10.1007/s12190-010-0403-x Search in Google Scholar

eISSN:
2066-7752
Język:
Angielski
Częstotliwość wydawania:
2 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics