[PDF] Top 20 New results on anti-periodic boundary value problems for second-order nonlinear differential equations

... the anti-periodic bound- ary value problem ...of boundary value ...the new results in the following ...some new conditions are presented for (.) and (.). The ... See full document

... Boundary value problems for a coupled system of nonlinear differential equations have been the subject of many investigations ...the results on boundary value prob- ... See full document

... Fractional order differential equations are available in various disciplines of sci- ence and technology, we refer to [4, 6, 15, 19, 22, 25] for some of the ...These equations have solutions ... See full document

... higher order problems with functional conditions see [, ...functional boundary value problems of differential equations ... See full document

... of results on this subject have been now achieved. For readers new to this subject, we cite a few proper ones of the books, and a comprehensive treatment of this subject and its applications can be found in ... See full document

... In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point ... See full document

... It is known from the general theory of boundary value problems for functional di ff eren- tial equations that if is a monotone operator, then problem (1.1), (1.2) has the Fredholm property (see ... See full document

... have become the assumptions in the searching for positive solutions of singular second-order equations and systems; see for instance Chu and Torres 2, Chu et al. 3, Franco and Torres 4, Jiang et al. ... See full document

... studying boundary value problems. For the existence results of two-point boundary value problem, there already are lots of interesting works by applying this essential technique ... See full document

... fractional differential calculus setting, new develop- ments in this theory of fractional q-difference calculus were made, for example, q-analogues of the integral and differential fractional ... See full document

... study boundary condition () in the case when the function g(x, y) is nondecreasing with respect to its second argument ...the anti-periodic boundary value problem is a partial ... See full document

... of boundary-value problems with integral boundary conditions for differ- ential equations has become an important area of investigation in recent ...many results on the existence ... See full document

... existence results for the Dirichlet problem associated with (4), as well as for other boundary value problems with different boundary conditions, including, as particular cases, the ... See full document

... The paper is formulated as follows. In Section 2, some definitions and lemmas are given. In Section 3, we obtain two new existence theorems by using Schaefer’s fixed point theorem. In Section 4, an illustrative ... See full document

... In view of Lemma 2.1 a useful operator will now be introduced so that fixed points of the operator will be solutions of the initial value problem (1.1)-(1.3). Lemma 2.2. Consider the initial value problem ... See full document

... a new concept of lower and upper ...some new comparison principles and discuss the existence and uniqueness of the solutions for second-order impulsive integro-differential equations ... See full document

... Anti-periodic boundary value problems occur in the mathematic modeling of a variety of physical processes and have recently received considerable ...of anti-periodic ... See full document

... Note that the linear part of the periodic BVP (1.2) is not necessarily invertible, that is, we may be unable to equivalently rewrite (1.2) in the integral form. However, if we use Lemma 2.1, then impulsive BVP ... See full document

... in order to solve nonlinear two-point boundary value problems for second order nonlinear differential ... See full document

... As we know, the fixed point theorem of cone expression and compression is extensively used to study the existence of multiple solutions of boundary value problems for second- order ... See full document