Geodesic
Existence and iteration for fourth order p-Laplacian beam equations with integral boundary conditions
Filomat, Tome 36 (2022) no. 14, p. 4857

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In this paper, we consider the fourth order p-Laplacian beam equation (Φ p (u ′′ (t))) ′′ = f (t, u(t), u ′′ (t)) with integral boundary conditions u ′′ (0) = u ′′ (1) = 0, u(0)−αu ′ (0) = 1 0 1 (s)u(s)ds, u(1)+βu ′ (1) = 1 0 2 (s)u(s)ds. By using the contraction mapping principle, we establish the existence and uniqueness of solutions for the problem. The monotony of iterations is also considered. At last, some examples are presented to illustrate the main results.
DOI : 10.2298/FIL2214857Y
Classification : 34B10, 34B18
Keywords: Fourth order p-Laplacian beam equations, integral boundary conditions, existence and uniqueness, the contraction mapping principle, iterative method 
Youyuan Yang; Qiru Wang. Existence and iteration for fourth order p-Laplacian beam equations with integral boundary conditions. Filomat, Tome 36 (2022) no. 14, p. 4857 . doi: 10.2298/FIL2214857Y
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     author = {Youyuan Yang and Qiru Wang},
     title = {Existence and iteration for fourth order {p-Laplacian} beam equations with integral boundary conditions},
     journal = {Filomat},
     pages = {4857 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214857Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214857Y/}
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