[PDF] Top 20 EXISTENCE OF EXTREMAL SOLUTIONS FOR SOME FOURTH

... types of boundary value problems, such as integro-differential, with advances, delays, deviated arguments, nonlinear, ...sample of works in these fields we mention [1, 2, 10, 11, 12, 14, 15, 17, 18, 21, 22, ... See full document

... types of results for some fourth order functional boundary value ...an existence and location result for a problem where every boundary conditions have functional ...the existence ... See full document

... multiplicity of positive solutions of a boundary value problem for second-order three-point nonlinear impulsive integrodifferential equation of mixed type in a real Banach ...help of ... See full document

... bending of an elastic beam and, in this sense, we refer them as beam ...fields of science and engineering, either on bounded domains [3, 5, 8, 20, 21] either on the real line [1, 7, 12, 13, 17, ... See full document

... speaking, some geometrical and topological properties of the domain can help us to show existence results for elliptic problems; for example, the symmetry of the domain can be used to improve ... See full document

... definition of local ...definition of local well-posedness, since establishing it usually requires substantial further technical work that would distract us from the main point of local ... See full document

... where σ < 1, A is a positive differentiable function on (0, 1) and a is a positive measurable function in (0, 1) satisfying some appropriate assumptions related to the Karamata class. Our main result is ... See full document

... class of problems that involves most of the existing ...exemplify some of these elements, we can cite, initially, the studies developed by Ding and Wei [36] which considered a Dirac equation ... See full document

... section of this paper presents the background material needed in the subsequent ...two solutions of opposite and constant sign, relying on the (S) + property of some maximal monotone ... See full document

... point of I if and only if for any t ∈ Z, ∆ 4 u(t − 2) + ∇F (t, u(t)) = ...framework of problem (1.1). So, we can reduce the existence of periodic solutions of problem ...the ... See full document

... For some values of the real constants, it will be presented an Ambrosetti–Prodi type discussion on ...upper solutions technique, a priori estimations and topological degree ... See full document

... Later, inspired by the above result, Zhang studied in [21] system (1.4) for a different range of exponents to those in [12]. Indeed, he proved that for α, β, r, s < 0 satisfying some appropriate ... See full document

... obtain some existence results of equilibrium problems with lower and upper bounds by employing some classical fixed point ...stability of the solution sets for the problems in a ... See full document

... The last section contains, as example, a functional boundary value problem where differential equation and boundary conditions have both functional dependence, which could not be solved by the existent theory. In fact it ... See full document

... 2. Definitions and auxiliary results. In this section we define a Nagumo-type growth condition on the nonlinear part of the differential equation that will be an important tool to prove an a priori bound for the ... See full document

... part of the external body forces field (see ...theory of the absorption of forced plane infinitesimal waves according to the Navier–Stokes equations (see ...consideration of damping terms in the ... See full document

... Positive solutions for the p-Laplacian and bounds for its first eigenvalue, submitted for ...positive solutions of nonlocal and nonvariational elliptic problems, Nonlinear ...Cuesta, Existence ... See full document

... local existence and numerical methods, here we are concerned with continuation theorems and global existence for the steady state fractional Caputo nonlocal thermistor ...collect some back- ground ... See full document

... to fourth order equations with two-point boundary ...lower solutions technique for higher order boundary value problems, as in [ 1 , 4 ], and degree theory, [ 8 ... See full document

... kind of definition of lower and upper solutions, required to deal with the absence of a definite order for the first ...upper solutions, not necessarily ordered, are associated by ... See full document