In this paper, Krasnoselskii’s theorem and the fixed point theorem of cone expansion and compression are improved. Using the results obtained, we establish the existence of multiple positive solutions for the singular second-order boundary-value problems with derivative dependance on finite and infinite intervals.

Synthetic human pancreatic GRF (hpGRF-44) was administered as an iv bolus to 139 normal children of short stature and 63 patients with GH deficiency. After a dose of 1 and 2 micrograms hpGRF-44/kg BW, mean plasma GH levels peaked at 15 and 30 min, respectively, with corresponding values of 32.2 +/- 3.6 and 31.8 +/- 2.4 (+/- SE) ng/ml in normal but short children. There were no differences accor...

We apply the efficient congruencing method to estimate Vinogradov’s integral for moments of order 2s, with 1 6 s 6 k − 1. Thereby, we show that quasi-diagonal behaviour holds when s = o(k), we obtain near-optimal estimates for 1 6 s 6 1 4k 2 + k, and optimal estimates for s > k − 1. In this way we come half way to proving the main conjecture in two different directions. There are consequences f...

An inventory model is formulated with type-2 fuzzy parameters under trade credit policy and solved by using Generalized Hukuhara derivative approach. Representing demand parameter of each expert's opinion is a membership function of type-1 and thus, this membership function again becomes fuzzy. The final opinion of all experts is expressed by a type-2 fuzzy variable. For this present problem, t...

CONTEXT Measurement of GH after oral glucose tolerance test (OGTT) is used for the diagnosis and surveillance of acromegaly. However, there are major discrepancies between glucose-suppressed GH and plasma IGF1 as indices of biochemical activity of acromegaly in patients with relatively mild GH oversecretion. This study was aimed to assess the performance of OGTT in patients with acromegaly and ...

using the riemann-liouville fractional differintegral operator, the lie theory is reformulated. the fractional poisson bracket over the fractional phase space as 3n state vector is defined to be the fractional lie derivative. its properties are outlined and proved. a theorem for the canonicity of the transformation using the exponential operator is proved. the conservation of its generator is p...

the non-differentiability and implicit definition of boundary of production possibility set (pps) in data envelopment analysis (dea) are two important difficulties for obtaining directional characteristics, including different elasticity measures and marginal rates of substitution. also, imposing weight restrictions in dea models have some shortcomings and misunderstandings. in this paper we ut...

in this article, we develop the distributed order fractional hybrid differential equations (dofhdes) with linear perturbations involving the fractional riemann-liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-lipschit...

The topographical properties of fission barriers have been investigated within the macro-microscopic model. The range of validity of the topographic theorem, which states that the saddle-point mass is rather close to its macroscopic value, was studied in a quantitative way. It is shown that the conditions for the validity of the topographic theorem are fulfilled at the inner barrier, while at t...