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Showing 1 to 20 of 45 for “"Linear Differential equations"”.
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A Class of Linear Differential Equations Involving Distributions
Made available in DSpace on 2014-12-09T22:17:07Z (GMT). No. of bitstreams: 1 6406053.pdf: 14638741 bytes, checksum: b7ecc42eac1633e5242fea3eb653198c (MD5) Previous issue date: 1963
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Some Extensions of the Skolem-Mahler-Lech Theorem
… a finite set. Since rational functions satisfy linear differential equations of order 0 with polynomial coefficients, it is natural to conjecture that the Skolem-Mahler-Lech theorem also holds for functions satisfying linear differential equations with polynomial coefficients of higher orders. …
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The discriminant — From a quadratic equation to dynamic nonlinear systems
… the Quadratic Formula to solve quadratic equations, students learn its use for the classification of type and number of solutions for each equation being solved. Most students memorize the formula, identify the correct values for each variable, and successfully solve to find solutions for …
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A Variation of the Carleman Embedding Method for Second Order Systems.
… us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for higher order nonlinear ordinary differential …
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Non-linear rolling of ships in large sea waves
… of sea keeping characteristics using linear differential equations with constant coefficients predict a very stable platform, while observations in model tests show a ship that is prone to extreme roll transients. This thesis examines a simple method of producing a non-linear …
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Mathematical models for vector-borne disease: effects of periodic environmental variations.
… season, the model consists of system of non linear differential equations considering the various stages of the infection transmission between the vector and the host population. Assuming the overwintering in the mosquito populations, I simulated the model for several years. Finally, I …
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Positive Solutions, Existence Of Smallest Eigenvalues, And Comparison Of Smallest Eigenvalues Of A Fourth Order Three Point Boundary Value Problem
… positive eigenvalues is established for the linear differential equations $u^{(4)}+\lambda_{1} q(t)u=0$ and $u^{(4)}+\lambda_{2} r(t)u=0$, $0\leq t \leq 1$, with each satisfying the boundary conditions $u(0)=u'(p)=u''(1)=u'''(1)=0$ where $1-\frac{\sqrt{3}}{3}\le p < 1$. A comparison theorem …
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Domínios de estabilidade assintótica: sua determinação utilizando o segundo Método de Liapunov
… of the trivial solution of first-order, non-linear, differential equations when Liapnov's second (direct) method is used. The first three chapters are introductory and present an historical review, the use of quadratic forms as Liapunov's functions, and a physical interpretation of the …
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Domain partitioning to bound moments of differential equations using semidefinite optimization
… and upper bounds on moments of solutions of linear differential equations. The motivation for change is to obtain tighter bounds by solving smaller semidefinite problems. The modification we propose involves partitioning the domain and normalizing each partition to ensure numerical stability. …
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Stability theory of differential equations
… problem of determining the stability of a set of linear differential equations has been of interest to mathematicians and engineers for a considerable length of time. The problem is attacked by obtaining the characteristic equation of the original set of equations and determining the stability of …
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