[PDF] Top 20 Positive solutions of second order singular boundary value problem with a Laplace like operator

... existence of multiple positive solutions. In all the above-mentioned articles f is supposed to be nonnegative. When Φ(v) = v, Agarwal et al. [1] as well as Ge and Ren [4] discussed the existence of ... See full document

... triple positive differential equations, the method has not been used to study this type of second-order singular boundary value problem with general differential ... See full document

... of positive solutions of singular second-order boundary value problem u t f t, u t 0, t ∈ 0, 1 , u 0 u 1 0, which is not necessarily ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...multi-point ... See full document

... In Section 2, we define an operator whose fixed points are solutions to 1.6 and state two fixed point theorems due to 12, 14. We also state and prove some lemmas that will be needed in order to prove ... See full document

... where a min{0, inf{τ t : 0 ≤ t ≤ 1}}, b max{1, sup{τt : 0 ≤ t ≤ 1}}, and the existence of positive solutions to 1.1 is obtained. When τt t − r in 1.1, Agarwal and O’Regan in 5, Lin and Xu in 6 discussed the ... See full document

... In order to prove the existence of a fixed point of () we make use of the Krasnoselskii-Guo fixed point theorem on cone expansion and compression (see ...would like to point out here that in our case the ... See full document

... the boundary value problem ...corresponding problem without the impulsive terms, so that we can construct an integral operator for an appropriate linear Robin boundary ... See full document

... one positive solution}, and (α ∗ , β ∗ , λ ∗ , µ ∗ ) = sup Σ = {(sup α , sup β , sup λ , sup µ )| BVP ...one positive solution}; it follows from Lemma ... See full document

... to boundary value problems with integral bound- ary conditions ...lower solutions and the monotone iterative technique play extremely important roles in proving the existence of solutions to ... See full document

... of singular impulsive differential equations has been emerging as an important area of investigation in recent ...a second-order differential equation u ft, u, u , one usually considers impulses in the ... See full document

... The rest of the paper is organized as follows. In Section 2, we give some preliminaries and a lemma which establishes a completely continuous operator. In Section 3, Theorems 3.1 and 3.2, and results for the ... See full document

... Definition . An operator B : D – → E is said to be completely continuous if it is contin- uous and compact. B is called a k-set-contraction (k ≥ ) if it is continuous, bounded and ϒ (B(S)) ≤ kϒ(S) for any ... See full document

... of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...multiple positive solutions for the system is showed through the fixed ... See full document

... correspondence second- order functional differential equation with periodic boundary conditions and the functional dependence given by the piecewise constant ...of solutions of ... See full document

... “Periodic solutions for P-Laplacian differential equation with singular forces of attractive type,” IAENG International Journal of Applied Mathematics, ...“Maximal Order Block Method For ... See full document

... the boundary value conditions (k) (k = 2, 3, ..., 6) with no singular- ...one positive solution and two positive solutions are obtained by using fixed point ... See full document

... multipoint boundary value problems of second- order differential equations with one-dimensional ...three solutions may be not positive of these BVPs are ... See full document

... The solvability of various IVPs has been studied also by Bobisud and O’Regan [], Bobisud and Lee [], Cabada and Heikkilä [], Cabada et al. [, ], Cid [], Maagli and Masmoudi [], and Zhao []. Existence results ... See full document

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of various physical, ... See full document