Nonnegative solutions of singular boundary value problems with sign changing nonlinearities

AbstractThe paper presents sufficient conditions for the existence of positive solutions of the equation x″(t) + q(t)f(t,x(t),x′(t)) = 0 with the Dirichlet conditions x(0) = 0, x(1) = 0 and of the equation (p(t)x′(t))′ + p(t)q(t)f(t,x(t),p(t)x′(t)) = 0 with the boundary conditions limt→o+ p(t)x′(t) = 0, x(1) = 0. Our nonlinearity f is allowed to change sign and f may be singular at x = 0. The proofs are based on a combination of the regularity and sequential techniques and the method of lower and upper functions

Hybrid-type generalized multivalued vector complementarity problems

We introduce a new type of generalized multivalued vector complementarity problems with moving pointed cone. We discuss the existence results for generalized multivalued vector complementarity problems under inclusive assumptions and obtain results on the equivalence between the generalized multivalued vector complementarity problems and the generalized multivalued vector variational inequality problems.Введено новий тип узагальнених багатозначних векторних задач доповнюваностi з рухомим загостреним конусом. Розглянуто питання про iснування розв’язкiв узагальнених багатозначних векторних задач доповнюваностi при умовах включення та отримано результати щодо еквiвалентностi мiж узагальненими багатозначними векторними задачами доповнюваностi та узагальненими багатозначними векторними задачами для варiацiйних нерiвностей

A 2-D analytical threshold voltage model for symmetric double gate MOSFET's using green’s function

We propose a new two dimensional (2D) analytical solution of Threshold Voltage for undoped (or lightly doped) Double Gate MOSFETs. We have used Green’s function technique to solve the 2D Poisson equation, and derived the threshold voltage model using minimum surface potential concept. This model is assumed uniform doping profile in Si region. The proposed model compared with existing literature and experimental data and we obtain excellent agreements with previous techniques. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2788

Semipositone higher-order differential equations

AbstractKrasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone conjugate and (n, p) problems

Oscillation of certain fourth order functional differential equations

Some new criteria for the oscillation of fourth-order nonlinear functional differential equations of the special form are established.Встановлено деякі нові критерії коливання нелінійних функціональних диференціальних рівнянь спеціального вигляду

Is Radiation Superior to Indomethacin to Prevent Heterotopic Ossification in Acetabular Fractures?: A Systematic Review

Heterotopic ossification is a well-known complication after fixation of an acetabular fracture. Indomethacin and radiation therapy are used as prophylaxis to prevent heterotopic ossification. It is unclear, however, whether either is superior, although this may relate to lack of power in individual studies. To compare the effectiveness of indomethacin with the effectiveness of radiation therapy, we conducted a systematic review in which all published prospective studies were evaluated. We performed a literature search in PubMed®, MEDLINE®, EMBASE™, and the Cochrane Controlled Trial Register. The retrieved studies were analyzed and categorized according to the quality and validity score of Jadad et al. We found five appropriate prospective studies, describing 384 patients. Although the quality of the available studies made a proper meta-analysis inappropriate, the incidence of heterotopic ossification was significantly lower in patients treated with radiation than in patients receiving indomethacin (five of 160 versus 20 of 224, respectively). Until further information is available, we believe the evidence supports radiation therapy as the preferred method for preventing heterotopic ossification after operative treatment of acetabular fractures

New kinds of generalized variational-like inequality problems in topological vector spaces

AbstractIn this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 294–297]

Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems

We consider solution operators of linear ordinary boundary problems with "too many" boundary conditions, which are not always solvable. These generalized Green's operators are a certain kind of generalized inverses of differential operators. We answer the question when the product of two generalized Green's operators is again a generalized Green's operator for the product of the corresponding differential operators and which boundary problem it solves. Moreover, we show that---provided a factorization of the underlying differential operator---a generalized boundary problem can be factored into lower order problems corresponding to a factorization of the respective Green's operators. We illustrate our results by examples using the Maple package IntDiffOp, where the presented algorithms are implemented.Comment: 19 page