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Using a well-known fixed point theorem on cones, we study the number of positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments. We discuss our problems under two cases when the deviating arguments are delayed and advanced. Our results extend and improve those of Boucherif (Nonlinear Anal. 70:364-371, 2009) and Kong (Nonlinear Anal. 72:2628-2638,...
By using Leggett-Williams’ fixed point theorem and Hölder’s inequality, the existence of three positive solutions for the fourth-order impulsive differential equations with integral boundary conditions x ( 4 ) ( t ) = ω ( t ) f ( t , x ( t ) ) $x^{(4)}(t)=\omega(t)f(t,x(t))$ , 0 < t < 1 , t ≠ t k , Δ x | t = t k = I k ( t...
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