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Ptolemy Scientific Research Press (PSR Press)is a highly regarded publisher of scientific literature dedicated to bringing the latest research and findings to a broader audience. With a focus on cutting-edge research and technology, Ptolemy Scientific Research Press offers a range of publications catering to professionals, researchers, and student’s needs. Whether looking for information on the latest breakthroughs in physics, biology, engineering, or computer science, you can trust Ptolemy Scientific Research Press to deliver insightful, accurate, and engaging content. With its commitment to quality, accessibility, and innovation, Ptolemy Scientific Research Press is an essential resource for anyone interested in science and technology.

Latest Published Articles

The study of honey comb derived network via topological indices

OMA-Vol. 2 (2018), Issue 2, pp. 10–26 | Open Access Full-Text PDF
Wei Gao, Muhammad Asif, Waqas Nazeer
Abstract:Chemical reaction network theory is an area of applied mathematics that attempts to model the behavior of real world chemical systems. Since its foundation in the 1960s, it has attracted a growing research community, mainly due to its applications in biochemistry and theoretical chemistry. It has also attracted interest from pure mathematicians due to the interesting problems that arise from the mathematical structures involved. In this report, we compute newly defined topological indices, namely, Arithmetic-Geometric index (\(AG_{1}\) index), \(SK\) index, \(SK_{1}\) index, and \(SK_{2}\) index of the Honey Comb Derived Networks. We also compute sum connectivity index and modified Randić index. Moreover we give geometric comparison of our results.
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Oscillatory Behavior of Second Order Nonlinear Difference Equations with a Non-Positive Neutral Term

OMS-Vol. 2 (2018), Issue 1, pp. 240–252 Open Access Full-Text PDF
Said R. Grace, Shurong Sun, Limei Feng, Ying Sui
Abstract:We shall present new oscillation criteria of second order nonlinear difference equations with a non-positive neutral term of the form \(\Delta(a(t)(\Delta(x(t)-p(t)x(t-k)))^{\gamma})+q(t)x^{\beta}(t+1-m)=0,\) with positive coefficients. Examples are given to illustrate the main results.
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The Weighted Square Integral Inequalities for Smooth and Weak Subsolution of Fourth Order Laplace Equation

OMS-Vol. 2 (2018), Issue 1, pp. 228–239 Open Access Full-Text PDF
Muhammad Shoaib Saleem, J. Pečarič, Mubeen Munir, Asghar Ali, Muhammad Shahid Iqbal Tubssam
Abstract:In this work we develop the weighted square integral estimates for the second derivatives of weak subsolution of forth order Laplace equation. It is natural generalization of inequalities develop for the Superharmonic functions in [1].
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Ontology Similarity Computing Based on Stochastic Primal Dual Coordinate Technique

OMS-Vol. 2 (2018), Issue 1, pp. 221–227 Open Access Full-Text PDF
Guoshun Liu, Zhiyang Jia, Wei Gao
Abstract:With the extensive application of ontology in the fields of information retrieval and artificial intelligence, the ontology-based conceptual similarity calculation becomes a hot topic in ontology research. The essence of ontology learning is to obtain the ontology function through the learning of ontology samples, so as to map the vertices in each ontology graph into real numbers, and finally determine the similarity between corresponding concepts by the difference between real numbers. The essence of ontology mapping is to calculate concepts from different ontologies. In this paper, we introduce new ontology similarity computing in view of stochastic primal dual coordinate method, and two experiments show the effectiveness of our proposed ontology algorithm.
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New iterative methods using variational iteration technique and their dynamical behavior

OMA-Vol. 2 (2018), Issue 2, pp. 01–09 | Open Access Full-Text PDF
Muhammad Nawaz, Amir Naseem, Waqas Nazeer
Abstract:The aim of this paper is to present new sixth order iterative methods for solving non-linear equations. The derivation of these methods is purely based on variational iteration technique. Our methods are verified by means of various test examples and numerical results show that our developed methods are more effective with respect to the previously well known methods.
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Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model

OMS-Vol. 2 (2018), Issue 1, pp. 209–220 Open Access Full-Text PDF
Qamar Din, Sadaf Khaliq
Abstract:In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme. We present the parametric conditions for local asymptotic stability of steady-states. It is shown that the two-dimensional discrete-time model undergoes period-doubling bifurcation and Neimark-Sacker bifurcation at its positive steady-state. Furthermore, in order to illustrate theoretical discussion some interesting numerical examples are presented.
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BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC