Special Issue
Submission Closed
Proceedings of the 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM 2015)
View Published Articles →01About This Special Issue
The 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM-2015) is the beginning of an esteemed forum for researchers working in mathematics to exchange their ideas about recent developments in the area of Pure and Applied Mathematics. Mathematics plays a very important role in the advancement of science and technology today. Pure Mathematics has provided the basic theoretical tools to solve real world problems. Its role is inevitable in interdisciplinary sciences and social sciences as well. The application point of view of Pure Mathematics has given rise to Applied Mathematics.This conference aims to build a connection between these two areas. The participants will be able to have an overview of the recent development in the several areas of Pure and Applied Mathematics. This will also provide a source of inspiration and motivation for young researchers and scholars. Moreover, this will bring together mathematicians and students from different communities to discuss problems, ideas and methods so as to enhance progress in understanding.
The speakers, who have presented papers at 1st UNCPAM 2015, are requested to submit their original and unpublished research papers by 30th March, 2015 for the consideration of publication into this Special Issue of the “Proceedings of the Ist UNCPAM 2015”.
02Meet the Guest Editors
Our distinguished editors bring deep subject-matter expertise to curate high-quality research and ensure a rigorous peer-review process.
Lead Guest Editor
Mohammad Showkat Rahim Chowdhury
Department of Mathematics, University of Management and Technology (UMT), Lahore, Pakistan
Guest Editor
Qingyi Zhan
, China
Guest Editor
Mohammad Showkat Rahim Chowdhury
Department of Mathematics, University of Management and Technology (UMT), Lahore, Pakistan
03Published Articles
The following articles have been published in this special issue.
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Existence of Solutions to a Second Order Coupled System with Nonlinear Coupled Boundary Conditions
Issue: Volume 3, Issue 3-1, June 2015Pages: 54-59Received: 17 April 2015Accepted: 20 April 2015Published: 17 June 2015Abstract: We study existence of solution in the presence of upper and lower solutions of some second-order nonlinear coupled ordinary differential system (ODS for short) depending on first order derivatives with nonlinear coupled boundary conditions (CBCs for short). Our method for nonlinear coupled system with nonlinear CBCs is new and it unifies the treatm... Show More -
Issue: Volume 3, Issue 3-1, June 2015Pages: 46-53Received: 5 April 2015Accepted: 9 April 2015Published: 17 June 2015Abstract: In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pse... Show More
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On Vibration of Three-Layered Cylindrical Shell with Functionally Graded Middle Layer
Issue: Volume 3, Issue 3-1, June 2015Pages: 32-40Received: 31 May 2015Accepted: 1 June 2015Published: 15 June 2015Abstract: In the current analysis vibration characteristics of a cylindrical shell composed of three layers are examined. Vibration of cylindrical shells is accomplished for their involvement in various areas of engineering and technology. Shell vibration behavior depends upon on different geometrical material parameters and material parameters. They provide... Show More -
Fixed Point Theorems for Multivalued Contractive Mappings in Fuzzy Metric Spaces
Issue: Volume 3, Issue 3-1, June 2015Pages: 41-45Received: 30 May 2015Accepted: 1 June 2015Published: 15 June 2015Abstract: In this paper, we introduce multivalued contractive mappings of Feng-Liu type in complete fuzzy metric spaces. We prove fixed point theorems for such mappings in the context of fuzzy metric spaces. We provide with an example to show that our results are more general than previously obtained results in the literature. -
Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Subject to a Time-dependent Rotation
Issue: Volume 3, Issue 3-1, June 2015Pages: 25-31Received: 31 May 2015Accepted: 1 June 2015Published: 15 June 2015Abstract: In this paper the velocity field and the adequate shear stress corresponding to the rotational flow of an Oldroyd-B fluid, between two infinite coaxial circular cylinders, are determined by applying the finite Hankel transforms. The motion is produced by the inner cylinder that, at time t = 0+, is subject to a time-dependent rotational shear stress... Show More -
Positive Solutions of a Singular System with Two Point Coupled Boundary Conditions
Issue: Volume 3, Issue 3-1, June 2015Pages: 19-24Received: 31 May 2015Accepted: 1 June 2015Published: 15 June 2015Abstract: In this paper, we study the existence of positive solutions to a system of nonlinear differential equations subject to two-point coupled boundary conditions. Further, the nonlinearities are allowed to be singular with respect to first order derivatives. An example is included to show the applicability of our result. -
Odd Graceful Labeling of Acyclic Graphs
Issue: Volume 3, Issue 3-1, June 2015Pages: 14-18Received: 28 May 2015Accepted: 30 May 2015Published: 10 June 2015Abstract: Let G = (V, E) be a finite, simple and undirected graph. A graph G with q edges is said to be odd-graceful if there is an injection f : V (G) {0, 1, 2, . . . , 2q 1} such that, when each edge xy is assigned the label |f (x) f (y)| , the resulting edge labels are {1, 3, 5, . . . , 2q 1} and f is called an odd graceful labeling of G. Motivated b... Show More -
Issue: Volume 3, Issue 3-1, June 2015Pages: 6-13Received: 19 May 2015Accepted: 20 May 2015Published: 9 June 2015Abstract: An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform... Show More
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Integral Inequalities for Some New Classes of Convex Functions
Issue: Volume 3, Issue 3-1, June 2015Pages: 1-5Received: 19 March 2015Accepted: 21 March 2015Published: 9 June 2015Abstract: In this paper, we introduce a new class of convex functions, which is called nonconvex functions. We show that this class unifies several previously known and new classes of convex functions. We derive several new inequalities of Hermite-Hadamard type for nonconvex functions. Some special cases are also discussed. Results proved in this paper conti... Show More
