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@article{BASM_2019_3_a0, author = {Faouzi Haddouchi}, title = {A note on existence results for a nonlinear fourth-order integral boundary value problem}, journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica}, pages = {3--9}, publisher = {mathdoc}, number = {3}, year = {2019}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/BASM_2019_3_a0/} }
TY - JOUR AU - Faouzi Haddouchi TI - A note on existence results for a nonlinear fourth-order integral boundary value problem JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2019 SP - 3 EP - 9 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/BASM_2019_3_a0/ LA - en ID - BASM_2019_3_a0 ER -
%0 Journal Article %A Faouzi Haddouchi %T A note on existence results for a nonlinear fourth-order integral boundary value problem %J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica %D 2019 %P 3-9 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/BASM_2019_3_a0/ %G en %F BASM_2019_3_a0
Faouzi Haddouchi. A note on existence results for a nonlinear fourth-order integral boundary value problem. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2019), pp. 3-9. https://geodesic-test.mathdoc.fr/item/BASM_2019_3_a0/
[1] Alves E., Ma T. F., Pelicer M. L., “Monotone positive solutions for a fourth order equation with nonlinear boundary conditions”, Nonlinear Anal., 71 (2009), 3834–3841 | DOI | MR | Zbl
[2] Anderson D. R., Avery R. I., “A fourth-order four-point right focal boundary value problem”, Rocky Mountain J. Math., 36 (2006), 367–380 | DOI | MR | Zbl
[3] Benaicha S., Haddouchi F., “Positive solutions of a nonlinear fourth-order integral boundary value problem”, An. Univ. Vest Timis. Ser. Mat.-Inform., 54:1 (2016), 73–86 | MR
[4] Graef J. R., Qian C., Yang B., “A three point boundary value problem for nonlinear fourth order differential equations”, J. Math. Anal. Appl., 287 (2003), 217–233 | DOI | MR | Zbl
[5] Graef J. R., Yang B., “Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problems”, Appl. Anal., 74 (2000), 201–214 | DOI | MR | Zbl
[6] Graef J. R., Henderson J., Yang B., “Positive solutions to a fourth-order three point boundary value problem”, Discrete Contin. Dyn. Syst., 2009, Supplement, 269–275 | MR | Zbl
[7] Granas A., Dugundji J., Fixed point theory, Springer-Verlag, New York, 2003 | MR | Zbl
[8] Han X., Gao H., Xu J., “Existence of positive solutions for nonlocal fourth-order boundary value problem with variable parameter”, Fixed Point Theory Appl., 2011, 604046, 11 pp. | MR | Zbl
[9] Henderson J., Ma D., “Uniqueness of solutions for fourth-order nonlocal boundary value problems”, Bound. Value Probl., 2006, 23875, 12 pp. | MR | Zbl
[10] Kosmatov N., “Countably many solutions of a fourth-order boundary value problem”, Electron. J. Qual. Theory Differ. Equ., 12 (2004), 1–15 | DOI | MR
[11] Ma R., “Multiple positive solutions for a semipositone fourth-order boundary value problem”, Hiroshima Math. J., 33 (2003), 217–227 | DOI | MR | Zbl
[12] Ma R., Haiyan W., “On the existence of positive solutions of fourth-order ordinary differential equations”, Appl. Anal., 59 (1995), 225–231 | DOI | MR | Zbl
[13] Shen W., “Positive solutions for fourth-order second-point nonhomogeneous singular boundary value problems”, Adv. Fixed Point Theory, 1:5 (2015), 88–100
[14] Smart D. R., Fixed point theorems, Cambridge University Press, London–New York, 1974 | MR | Zbl
[15] Sun Y., Zhu C., “Existence of positive solutions for singular fourth-order three-point boundary value problems”, Adv. Difference Equ., 51 (2013), 13 pp. | MR
[16] Webb J. R., Infante G., Franco D., “Positive solutions of nonlinear fourth-order boundary value problems with local and nonlocal boundary conditions”, Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008), 427–446 | DOI | MR | Zbl
[17] Yang B., “Positive solutions for a fourth-order boundary value problem”, Electron. J. Qual. Theory Differ. Equ., 3 (2005), 1–17 | DOI | MR
[18] Yao Q., “Local existence of multiple positive solutions to a singular cantilever beam equation”, J. Math. Anal. Appl., 363 (2010), 138–154 | DOI | MR | Zbl
[19] Yong-Ping S., “Existence and multiplicity of positive solutions for an elastic beam equation”, Appl. Math. J. Chinese. Univ. Ser. B, 26:3 (2011), 253–264 | DOI | MR
[20] Zhang Q., Chen S., Lü J., “Upper and lower solution method for fourth-order four-point boundary value problems”, J. Comput. Appl. Math., 196 (2006), 387–393 | DOI | MR | Zbl