Let H be a Hilbert space and M be a closed linear subspace of H. Then by projection theorem H = M ⊕ M ⊥ . This theorem suggests that the result has something to do about a notion in Hilbert spaces which is analogous to and a generalization of the familiar idea of Orthogonal or pe...
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Research Article10.9734/jamcs/2022/v37i330440
This paper investigates unsteady two-dimensional MHD flow past a rotating semi-infinite plate with an inclined magnetic field with viscous dissipation, Ohmic and Joule heating. The fluid is assumed to be electrically conducting. The governing non-linear partial differential equat...
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Research Article10.9734/jamcs/2022/v37i330439
The concept of a compact operator on a Hilbert space, H is an extension of the concept of a matrix acting on a finite-dimensional vector space. In Hilbert space, compact operators are precisely the closure of finite rank operators in the topology induced by the operator norm. In...
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Research Article10.9734/jamcs/2022/v37i330438
In this paper, we propose an extended mixed finite element method for elasticity interface problems based on Mini finite element space. The stabilization term defined on edges of interface elements and the ghost penalty term are added, which ensures that the discrete inf-sup cond...
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Research Article10.9734/jamcs/2022/v37i230437
p-adic analysis and their applications is used p-adic distributions, p-adic measure, p-adic integrals, p-adic L-function and other generalized functions. In addition, among the many ways to investigate and construct generating functions for special polynomials and numbers, one of...
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Research Article10.9734/jamcs/2022/v37i230436
Euler function \(\varphi(n)\) and generalized Euler function \(\varphi_{e}(n)\) are two important functions in number theory. Using the idea of classified discussion and determination of prime types, we study the solutions of odd number of generalized Euler function equations \(...
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Research Article10.9734/jamcs/2022/v37i230435
PM2.5 is one of the main factors of air pollution, so the prediction of PM2.5 is of great significance. For this reason, the innovation priority discrete nonlinear gray model based on gray wolf optimization algorithm is established, which is based on the innovation priority princ...
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Research Article10.9734/jamcs/2022/v37i230434
With the development of society and economy, people's living standards are improving day by day. The number of private cars is increasing, and the problem of urban traffic congestion is becoming more and more serious. Short-term traffic flow prediction is crucial to assist intell...
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Research Article10.9734/jamcs/2022/v37i230433
This paper is concerned with the \(H_{\infty}\) proportional-integral-derivative (PID) control problem for a class of discrete-time networked control systems (NCSs). First, a dynamic event-triggered control (DETC) scheme has been introduced to save the constrained network bandwid...
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Research Article10.9734/jamcs/2022/v37i230432
In this paper, the variation of axial velocity of blood plasma with arterial radius has been studied in the laminar flow of blood plasma through a non-deformed artery. Since blood plasma is a Newtonian fluid, the Hagen-Poiseuille flow was used to study this variation. The Hagen-P...
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Research Article10.9734/jamcs/2022/v37i130431