Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order

A Note on Existence Results for a Class of Three-Point Nonlinear BVPS

“…Such problems are known as multipoint boundary value problems. Several results are available in literature related to multipoint and nonlocal BVPs, e.g., [1,4,5,6,8,9,10,11,12,15,16,19,20,21]. S. Roman along with A.Štikonas [13,14,17,18] established results related to construction of Green's function for nonlocal and multipoint boundary value problems.…”

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

“…Applying (a) of Lemma 1.1 to (3.3) and (3.4) yields that T has a fixed point x * ∈ K r 3 ,r 4 , r 3 ≤ x * c ≤ r 4 and x*(t) ≤ e(t)x*(s) >θ, t I, s I. The proof is complete.…”

“…The existence of positive solutions for second-order boundary value problems has been studied by many authors using various methods (see [1][2][3][4][5][6]). Recently, the integral boundary value problems have been studied extensively.…”

On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations

“…[22][23][24][25] The monotone iterative technique together with the method of upper and lower solutions are important tools for providing the existence and approximation of solutions to many applied problems of differential and integral equations. [26][27][28][29][30][31][32][33][34][35][36] The aforesaid scheme has been considered by few authors for FDEs. For instance, Khan 37 developed the aforesaid scheme for the following class of FDEs { D p w(t) + K(t, w(t)) = 0, t ∈ (0, 1), 1 < p < 2, w ′ (t)| t=0 = 0, w(1) = x( ), where D p denotes Caputo derivative and , ∈ (0, 1).…”