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Eliminants of Characteristic Equations [PDF]
Proceedings of the London Mathematical Society, 1932 R. S. Wilson
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Extremal values of differential equations with application to control systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. The analytical solutions of the equations and also the maximal positive values of these solutions are ...
Henryk Górecki, Mieczysław Zaczyk
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Damage Detection of Axially Loaded Beam: A Frequency-Based Method [PDF]
Civil Engineering Infrastructures Journal, 2016 The present study utilizes an analytical method to formulate the three lowest modal frequencies of axially-loaded notched beam through both crack location and load level in a specific format that can be used in existing frequency-based crack ...
Omid Rezaifar +1 more
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Uniform boundedness of solutions to linear difference equations with periodic forcing functions
AIMS Mathematics, 2023 In this paper we give criteria on the uniform boundedness of the solutions to linear difference equations (LEs) with periodic forcing functions. First, we give a necessary and sufficient condition that the sequence $ \{L^n\} $ of a square matrix $ L $ is
Rinko Miyazaki +2 more
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AIMS Mathematics, 2021 Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of 4×4 matrices in block-diagonal form ...
Sung Woo Choi
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Mathematical Biosciences and Engineering, 2023 We consider the boundary value problem of finite beam deflection on elastic foundation with two point boundary conditions of the form $ u^{(p)}(-l) = u^{(q)}(-l) = u^{(r)}(l) = u^{(s)}(l) = 0 $, $ p < q $, $ r < s $, which we call elementary.
Sung Woo Choi
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Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations
Mathematics, 2020 It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.
Mihály Pituk
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On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences
Mathematics, 2020 In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
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International Journal of Applied Mechanics and Engineering, 2023 The current research work considers a two-parameter singularly perturbed two-point boundary value problem. Here, we suggest a computational scheme derived by using an exponential spline for the numerical solution of the problem on a uniform mesh.
Satyanarayana KAMBAMPATI +3 more
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Matrix Analysis of Synchronous Boolean Networks [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2021 The synchronous Boolean network (SBN) is a simple and powerful model for describing, analyzing, and simulating cellular biological networks. This paper seeks a complete understanding of the dynamics of such a model by employing a matrix method that ...
Ali Muhammad Ali Rushdi +1 more
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