In this paper we present sufficient conditions for the existence of solutions to the periodic fourth order boundary value problem u(x) = f(x, u(x), u′(x), u′′(x), u′′′(x)) u(a) = u(b), i = 0, 1, 2, 3, for x ∈ [a, b], and f : [a, b] × R4 → R a continuous function. To the best of our knowledge it is the first time where this type of general nonlinearities is considered in fourth order equations w...

We apply a method of quasilinearization to a boundary value problem for an ordinary differential equation on an unbounded domain. A uniquely determined Green’s function, which is integrable and of fixed sign, is employed. The hypotheses to apply the quasilinearization method imply uniqueness of solutions. The quasilinearization method generates a bilateral iteration scheme in which the iterates...

middle-late eocene deep marine deposits (483 m.) of the islam-ghaleh section, south mashhad, rich in ichnofossils in shale and sandstone layers. these flysch type sediments are composed of sandstone, shale and marl in gray to green in color and are divided into five subunits. the lower boundary of these successions is gradual with red conglomerate and sandstone and their upper boundary is gradu...

Laczkovich proved that if bounded subsets A and B of R have the same non-zero Lebesgue measure and the upper box dimension of the boundary of each set is less than k, then there is a partition of A into finitely many parts that can be translated to form a partition of B. Here we show that it can be additionally required that each part is both Baire and Lebesgue measurable. As special cases, thi...

Let C be a set of geometric objects in R. The combinatorial complexity of the union U(C) of C is the total number of faces of all dimensions, of the arrangement of the boundaries of the objects, which lie on its boundary. We survey the known upper bounds on the complexity of the union of n geometric objects satisfying various natural conditions. These problems play a central role in the design ...

Let (M, g) be an asymptotically flat static vacuum initial data set with non-empty compact boundary Σ. We prove that (M, g) is isometric to a spacelike slice (R \ Bm 2 (0), (1 + m 2|x| ) 4δij) of a Schwarzschild spacetime under the mere assumption that Σ has zero mean curvature, hence generalizing a classic result of Bunting and Masood-ul-Alam. In the case that Σ has constant positive mean curv...

the aim of this study was to examine the effects of two kinds of concurrent training on body fat percentage, body mass index (bmi), maximal oxygen consumption, body upper strength, body lower strength, total cholesterol, triglyceride and low- and high-density lipoprotein-cholesterol in non-athlete overweight boys. for this purpose, 40 non-athlete overweight boys (mean age 15.33 ± 0.58) were sel...

 Background: Severe upper extremity injuries can affect the quality of life in patients and cause multi-factorial and long-term costs of disease. The aim of this study was to assess quality of life in patients with upper extremity injuries caused by work-related accidents. Methods: In this study cross-sectional method was used in patients referred to the Occupational medicine Clinic of Rasoul A...

background: severe upper extremity injuries can affect the quality of life in patients and cause multi-factorial and long-term costs of disease. the aim of this study was to assess quality of life in patients with upper extremity injuries caused by work-related accidents. methods: in this study cross-sectional method was used in patients referred to the occupational medicine clinic of rasoul ak...