Multiplicity of periodic solutions for systems of weakly coupled parametrized second order differential equations

We prove a multiplicity result of periodic solutions for a system of second order differential equations having asymmetric nonlinearities. The proof is based on a recent generalization of the Poincar\ue9\u2013Birkhoff fixed point theorem provided by Fonda and Ure\uf1a

On the topological degree of planar maps avoiding normal cones

The classical Poincar\ue9\u2013Bohl theorem provides the existence of a zero for a function avoiding external rays. When the domain is convex, the same holds true when avoiding normal cones. We consider here the possibility of dealing with nonconvex sets having inward corners or cusps, in which cases the normal cone vanishes. This allows us to deal with situations where the topological degree may be strictly greater than 1

An extension of the Poincaré–Birkhoff Theorem coupling twist with lower and upper solutions

In 1983, Conley and Zehnder proved a remarkable theorem on the periodic problem associated with a general Hamiltonian system, giving a partial answer to a conjecture by Arnold. Their pioneering paper has been extended in different directions by several authors. In 2017, Fonda and Ureña established a deeper relation between the results by Conley and Zehnder and the Poincaré–Birkhoff Theorem. In 2020, Fonda and Gidoni pursued along this path in order to treat systems whose Hamiltonian function includes a nonresonant quadratic term. It is the aim of this paper to further extend this fertile theory to Hamiltonian systems which, besides the periodicity-twist conditions always required in the Poincaré–Birkhoff Theorem, also include a term involving a pair of well-ordered lower and upper solutions. Phase-plane analysis techniques are used in order to recover a saddle-type dynamics permitting us to apply the above mentioned results

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pp. 95-9

INTRINSIC MECHANISM FOR ENTROPY CHANGE IN CLASSICAL AND QUANTUM EVOLUTION

It is shown that the existence of a time operator in the Liouville space representation of both classical and quantum evolution provides a mechanism for effective entropy change of physical states. In particular, an initially effectively pure state can evolve under the usual unitary evolution to an effectively mixed state.Comment: 20 pages. For more information or comments contact E. Eisenberg at [email protected] (internet)

A Lower/Upper Solutions Result for Generalised Radial p-Laplacian Boundary Value Problems

We provide existence results to some planar nonlinear boundary value problems, in the presence of lower and upper solutions. Our results apply to a class of systems generalising radial elliptic equations driven by the p-Laplace operator, and to some problems involving the Laplace–Beltrami operator on the sphere. After extending the definition of lower and upper solutions to the planar system, we prove our results by a shooting method involving a careful analysis of the solutions in the phase plane

Analisis Fundamental Untuk Menilai Kewajaran Harga Saham Dan Keputusan Investasi Dengan Menggunakan Metode Pendekatan Price Earning Ratio (Studi Pada Perusahan Sektor Industri Dasar Dan Kimia Yang Terdaftar Di Bei Periode Tahun 2012 – 2014)

This research to knowing the reasonableness of the price of shares in the company sector and chemical industry base by using fundamental analysis to determine the approach and investment decisions will be taken. This research is using the kind of desciptive research with quantitative approach. This population of the research is using basic industry company and chemical which listing in Indonesia Stock Exchange in the period of 2012 - 2014. The focus of this research is the fairness value of the stock price and the investment decision. The sources of data which used in this research is secondary data. The sampling technique in this research is using purposive sampling, with the determined criterias, so there are 8 companies that become a sample. The results of this study indicate that there are 7 companies whose the stock price is at undervalued condition, with consist of 4 companies can take a decision to hold the stock and 3 companies is recommended to buying the stock. The company which are in overvalued condition is PT. Surya Toto Indonesia, Tbk, so the decision that can be taken is to sell the stock

Hubungan Antara Konformitas Dengan Intensi Prososial Pada Remaja Warga Binaan Pemasyarakatan Lapas Anak Kelas II a Kutoarjo

Penelitian ini bertujuan untuk mengkaji hubungan antara konformitas dengan intensi prososial pada remaja warga binaan pemasyarakatan LAPAS Anak Kelas II A Kutoarjo.Populasi penelitian ini yaitu remaja warga binaan pemasyarakatan LAPAS Anak Kelas II A Kutoarjo sebanyak 110 orang. Sampel penelitian sebanyak 78 orang, sampel diambil dengan menggunakan teknik simple random sampling. Pengumpulan data menggunakan dua buah Skala Psikologi yaitu Skala Intensi Prososial (24 aitem valid, α = 0.834) dan Skala Konformitas (22 aitem valid, α = 0.836).Hasil penelitian menunjukkan koefisien korelasi rxy = 0.447 dengan p=0,000 (p<0,05). Hasil tersebut menunjukkan bahwa hipotesis yang diajukan peneliti, yaitu terdapat hubungan positif antara konformitas dengan intensi prososial dapat diterima.Nilai koefisien korelasi positif menunjukkan bahwa arah hubungan kedua variabel adalah positif, artinya semakin tinggi konformitas maka semakin tinggi intensi prososial. Konformitas memberikan sumbangan efektif sebesar 19.9% pada intensi prososial dan sebesar 80.1% dipengaruhi oleh faktor lain yang tidak diteliti dalam penelitian ini

A hair-tube survey of small mammals from Serra di Ivrea (NW Italy)

Natura 2000 is the largest coordinated network of protected areas in the world and the main tool for biodiversity conservation within the European Union. Monitoring the protected habitats and species in all network sites by efficient survey methods is essential to plan effective conservation strategies. Small mammals, although including species of conservation interest and being major components of the food web, are often understudied. Through an intensive survey, we investigated the small mammal community of the Special Area of Conservation IT1110057 Serra di Ivrea (Piedmont, NW Italy). We overimposed a 1×1 km grid to the study area and selected a random linear transect in each cell. From mid-May to midJune 2016 we collected small mammal presence data along 55 transects, where we set 955 hair-tubes of 60 mm (n=369) and 30 mm (n=586) in diameter, in a number proportional to each transect length. The largest hair-tubes were positioned on trunks or horizontal branches of trees (ca. 160 cm above ground level) about 100 m from each other, whereas the smallest tubes were tied to shrubs (ca. 80 cm a.g.l.) with 30 m spacing. A bait (hazelnut cream) was used to attract animals and an adhesive strip was attached at each end of the tube to collect the hairs. We checked the hair-tubes twice, with an interval of 15 days. We examined the hairs using a microscope (20× and 40× magnifications) and species were identified by comparing the characteristics of the cuticle scale pattern, medulla and cross-section of the hairs. To collect information on ground-dwelling species, in September 2019 we carried out a four-nights capture session using Sherman traps (7.5×9×23 cm). We placed 10 traps at a distance of 10 m from each other along each of three selected transects. Hazelnut cream was spread at the entrance of each trap, while seeds, a slice of apple and cotton were put at the bottom. Traps were checked daily and trapped individuals were sexed and weighted before being released at the site of capture. In 28650 trap-days we found 185 positive hair-tubes. We detected a total of five to six species: Sciurus vulgaris, Eliomys quercinus, Moscardinus avellanarius, Glis glis and Apodemus sylvaticus/flavicollis, mice’s hairs being indistinguishable by hair morphology. Most occurrences were in the second check (n=156) when we found 126 Apodemus sp., 15 Sciurus vulgaris, 7 Eliomys quercinus, 6 Moscardinus avellanarius and 2 Glis glis. In the first check (n=29) only 19 Apodemus sp., 3 Sciurus vulgaris, 4 Eliomys quercinus and 3 Moscardinus avellanarius were detected. Overall, 168 presence data were collected: 132 Apodemus sp. (13.82%), 17 Sciurus vulgaris (1.78%), 10 Eliomys quercinus (1.05%), 7 Moscardinus avellanarius (0.73%) and 2 Glis glis (0.21%). Sherman trapping allowed detection of 41 small rodents belonging to two species: Apodemus sylvaticus (92.7%) and Myodes glareolus (7.3%). Hair-trapping allowed to record a species not included in the SAC Standard Data Form, namely Moscardinus avellanarius, included in Annex 4 of the Habitats Directive, and also an elusive and understudied species such as Eliomys quercinus. Hair-tubes are a non-invasive and cost-effective method to get information on small mammal distribution. Anyway, considering the number of hair-tubes deployed, capture success was low, also for a potentially common species such as Glis glis, suggesting that a large trapping effort is needed for assessing spatial niche overlap between ecologically similar species and their habitat preferences. The simultaneous use of multiple survey methods may provide a more complete assessment of the small mammal community and allow to collect more reliable data about the genus Apodemus and others ground-dwelling species such as Myodes glareolus

Quantum Zeno effect in a probed downconversion process

The distorsion of a spontaneous downconvertion process caused by an auxiliary mode coupled to the idler wave is analyzed. In general, a strong coupling with the auxiliary mode tends to hinder the downconversion in the nonlinear medium. On the other hand, provided that the evolution is disturbed by the presence of a phase mismatch, the coupling may increase the speed of downconversion. These effects are interpreted as being manifestations of quantum Zeno or anti-Zeno effects, respectively, and they are understood by using the dressed modes picture of the device. The possibility of using the coupling as a nontrivial phase--matching technique is pointed out.Comment: 11 pages, 4 figure