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THE 1-JET GENERALIZED LAGRANGE GEOMETRY INDUCED BY THE RHEONOMIC CHERNOV METRIC
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Vladimir BALAN, Mircea NEAGU
The aim of this paper is to develop on the 1-jet space the jet Generalized Lagrange Geometry ([13, 12]) for the rheonomic Chernov metric\r\n \r\nThe associated gravitational and electromagnetic field equations of the model are determined, and the Physical relevance is emphasized.\r\nKeywords:...
MULTIPLE -HYBRID LAPLACE TRANSFORM AND APPLICATIONS TO MULTIDIMENSIONAL HYBRID SYSTEMS. PART II: DETERMINING THE ORIGINAL
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Valeriu PREPELIÃÃ, Tiberiu VASILACHE
This paper completes the study of the -Hybrid Laplace Transform from [11] with the theorems regarding integration and sum of the original, integration of the image, convolution, product of originals, initial and final values.\r\nSome methods and formulas for determining the original of a given ...
ON A CLASS OF MULTITIME VARIATIONAL PROBLEMS WITH ISOPERIMETRIC CONSTRAINTS
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Stefan MITITELU, Ariana PITEA, Mihai POSTOLACHE
This paper aims to establish some results of eficiency and duality for multitime control problems, thought as variational problems with isoperimetric constraints, mainly arising when we talk about resources. First, we introduce optimality conditions for a scalar multitime variational problem...
TWO SOLUTIONS FOR A PROBLEM OF MATHEMATICAL PHYSICS EQUATIONS
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Irina MEGHEA
In this paper two approach methods to obtain and characterize weak solutions or subsolutions and supersolutions for a problem of mathematical phisics equations are presented. In the first, Ekeland variational principle and a condition of Palais Smale type are both involved in order to obtain...
ON IDEMPOTENTS IN GENERALIZED RINGS
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Panait ANGHEL, Camelia CIOBANU, Mirela ªTEFÃNESCU
We study idempotents and properties of Peirce decompositions and ideals in near-rings with DCC, infra-near-rings and ringoids. For the last structure, we recall some results obtained in 1964 by S.K.Sehgal Applications to geometry are given in the last section.
GENERAL QUARTIC-CUBIC-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES
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M. ESHAGHI GORDJI, H. KHODAEI, R. KHODABAKHSH
The aim of this paper is to find the general solution of a mixed type quartic, cubic and quadratic functional equation\r\nf(x + ky) + f(x − ky) = k2 f(x + y) + k2f(x − y) + 2(1 − k2)f(x)\r\n+ k2(k2 − 1)/6 (f(2y) + 2f(−y) − 6f(y))\r\n(k  Z −...
GENERALIZATIONS OF JORDAN\\\\\\\'S INEQUALITY AND CONCERNED RELATIONS
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DA-WEI NIU, JIAN CAO, FENG QI
In the paper, two new Jordan type inequalities are established for bound-ing the Bessel function, some concerned relations among some recent results are discussed, and several simple applications are presented.
EXISTENCE AND ITERATION OF MONOTONE POSITIVE POLUTIONS FOR MULTI-POINT BVPS OF DIFFERENTIAL EQUATIONS
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YUJI LIU
By applying monotone iterative methods, we obtain not only the existence of monotone positive solutions for a kind of multi-point boundary value problems, but also establish iterative schemes for approximating the solutions. A boundary value problem that our results can readily apply, whereas...
EARLY STAGE OF TUMOR-IMMUNE COMPETITION WITH TIME DEPENDENT PARAMETER AND EXTERNAL SOURCE
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C. CATTANI, A. CIANCIO
The qualitative analysis, existence of equilibria and asymptotic behavior of the competition between tumor and immune cells are studied under the assumption of the time dependence of the parameters and the existence of a source (represent-ing the therapeutical action). In particular, the...
HOW QUANTUM ALGORITHMS WORK
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Marcel POPESCU, Constantin P. CRISTESCU
The paper presents essential information on quantum algorithms and based on two examples demonstrates that the computational environment MATLAB is highly appropriate for classical implementation in order to test their capability.
EVALUATION OF THE OPTICAL COUPLING BETWEEN
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Georgiana C. VASILE, Alexandru E. BRANIªTE, Gelu ILIE, Niculae N. PUªCAª
In this paper we report some experimental and theoretical results concerning the characterization of the coupling between graded refractive-index optical fibres and also between optical fibres and Ti:LiNbO and Er :Ti:LiNbO , respectively optical waveguides for =1.55 m using nondestructive...
STUDIES ON THE MESOMORPHIC STATE OF THE STEARIC ACID
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Elena SLAVNICU, Mihaela GHELMEZ (DUMITRU), Emil PETRESCU, Dan St. SLAVNICU
In the paper, we present a study on the behavior of the stearic (octadecanoic) acid in a thermal and electric field, and subjected to a thermal neutron beam. The current I dependence on the voltage U applied to the sample was measured at increasing and decreasing voltage values and at different...
MECHANISM OF CENTRAL WAVELENGTH TUNING OF THE SOLITONS FORMED IN A PMFL WHEN VARYING THE TOTAL ATTENUATION IN THE CAVITY OR WHEN CHANGING THE PUMP POW
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Ionuþ-Romeo ªCHIOPU, Paul ªCHIOPU
We report on the experimental observation a central wavelength tuning with up to 18 nm of the fundamental soliton in a passively mode-locked fiber ring laser (PMFL) when applying an extra attenuation in a certain position in the laser cavity, or by varying the pump power. Depending on the cavity...
IDENTIFICATION ATTEMPT OF THE MAIN STAGES OF HUMAN BEING GROWTH AND OF UNIVERSE EVOLUTION
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Dan A. IORDACHE, Pier P. DELSANTO, Ion APOSTOL
Despite the very limited knowledge and existing data about the human body growth and the Universe evolution, we try to identify the basic stages of human body growth and Universe expansion. For this purpose we use some tools offered by the physical theory of Complexity, such as e.g. the...
ON THE NONLINEAR RESONANCE WAVE INTERACTION
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Petre P.TEODORESCU, Veturia CHIROIU
This paper is studying the dynamic interaction of a dispersive linear rod resting on a continuous elastic foundation, with a nonlinear end attachment that is weakly connected to its right end. The resonant interactions of the attachment with incident traveling wave propagating in the rod are...
THEORY OF CHAOS APPROACH TO ASSESS THE MANAGEMENT DECENTRALIZATION
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Cezar SCARLAT, Eugen I. SCARLAT
Based on an original matrix model, this interdisciplinary paper uses the concepts of econophysics and fractal structure, which has been extended to read out properties emerging from the economic systems. As the theory of chaos could be the solution for explaining unlikely events that remain...