[PDF] Top 20 Positive solutions of second-order non-local boundary value problem with singularities in space variables

... multiple positive solutions using the fixed point index technique combined with the approximation of the singular BVP () by an appropriate sequence of regular ...its second and third variable. In ... See full document

... two positive solutions of BVP ...First, singularities of the nonlinearity f are related not only to the time but also to the space ...variables. Second, compared with [], the ... See full document

... in non-Newtonian mechan- ics, nonlinear elasticity, glaciology, population biology, combustion theory, and nonlinear flow laws, see [, ...of positive solu- tions for boundary value problems of ... See full document

... [5] A. Guezane-Lakoud, S. Kelaiaia and A. M. Eid, “ tive Solution for a Non-Local Boundary Value Problem,” International Journal of Open Problems in Computer Sci- ence and Mathematics, ... See full document

... function space by using nonlinear alternative of Leray-Schauder ...unbounded positive solution are obtained based upon the fixed point index theory and Banach contraction mapping ... See full document

... of positive periodic solutions for non-autonomous func- tional differential equations, Electronic Journal of Differential Equations 59 (2001), ...in solutions of delay difference equations, ... See full document

... The pair (u, v) is a solution of problem (S)–(BC) if and only if (u, v) is a fixed point of operator Q in the space Y. So, we will investigate the existence of fixed points of opera- tor Q. Under assumptions ... See full document

... The organization of this article is as follows. In Section 2, the author provides some necessary background. In particular, the author states some properties of the Green func- tion associated with problem (1.1). ... See full document

... and Hölder’s inequality, the authors showed the existence of countably many positive so- lutions. The other related results can be found in [–]. However, there are almost no papers considering ... See full document

... In this section, we present the Avery-Peterson fixed point theorem and some lemmas. Theorem . ([]) Let P be a cone in a real Banach space E. Let γ and θ be nonnegative continuous convex functional on P. Let α ... 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

... x atx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green’s functions, eigenvalues, rotation numbers, and their estimates, he gave several ... See full document

... If t ∗ = + ∞ then ω(+ ∞ ) = sup t∈[–τ ,+∞) ω(t) > . From the boundary conditions, we also have ω (+ ∞ ) = u (+ ∞ ) – β (+ ∞ ) ≤ . But this implies that ω (+ ∞ ) ≤  and ω (+ ∞ ) = . However, now following as ... See full document

... linear boundary value problems was initiated by II’in and Moi- seev [, ...multi-point boundary value problems have been widely studied by many ...multi-point boundary value ... See full document

... It is interesting that the method used in this paper is completely different from that in 6, 7, 9, 10, that is, a new representation of Green’s function for the corresponding linear BVP is obtained and some existence ... See full document

... In this paper, we establish the existence of positive periodic solutions to Eq.(1) through a basic application of nonlinear alternative principle of Leray-Schauder, generalizing in several aspects some ... See full document

... of solutions of ordinary differential equation with the periodic- integral boundary value conditions has been studied in some articles ...of solutions of second order ... See full document

... where a(·) and b(·) are continuous functions on [, ]. By the use of a fixed point theorem on cone, Ma established the existence of one positive solution of (.) in which f and g satisfy appropriate growth and ... See full document

... of solutions for some second-order boundary value problem with impulsive effects on an unbounded ...multiple positive solutions for singular Sturm- Liouville ... See full document

... Reference [] is concerned with the existence of positive solutions to a second-order boundary value problem. By imposing growth conditions on f and using a generalization ... See full document