Exterior Differential Systems and Euler Lagrange Partial Differential Equations

Differential Equations Jeffrey R. Chasnov

The contents of this book include: A short mathematical review, Introduction to odes, First-order odes , Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.

Author(s): Jeffrey R. Chasnov

149 Pages

Elementary Differential Equations

This note covers the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations.

Author(s): William F. Trench

663 Pages

Ordinary Differential Equations by Gabriel Nagy

This note describes the main ideas to solve certain differential equations, such us first order scalar equations, second order linear equations, and systems of linear equations. It uses power series methods to solve variable coefficients second order linear equations. Also introduces Laplace transform methods to find solutions to constant coefficients equations with generalized source functions.

Author(s): Gabriel Nagy

431 Pages

Ordinary Differential Equation Notes by S. Ghorai

This note covers the following topics: Geometrical Interpretation of ODE, Solution of First Order ODE, Linear Equations, Orthogonal Trajectories, Existence and Uniqueness Theorems, Picard's Iteration, Numerical Methods, Second Order Linear ODE, Homogeneous Linear ODE with Constant Coefficients, Non-homogeneous Linear ODE, Method of Undetermined Coefficients, Non-homogeneous Linear ODE, Method of Variation of Parameters, Euler-Cauchy Equations, Power Series Solutions: Ordinary Points, Legendre Equation, Legendre Polynomials, Frobenius Series Solution, Regular Singular Point, Bessle Equation, Bessel Function, Strum Comparison Theorem, Orthogonality of Bessel Function, Laplace Transform, Inverse Laplace Transform, Existence and Properties of Laplace Transform, Unit step function, Laplace Transform of Derivatives and Integration, Derivative and Integration of Laplace Transform, Laplace Transform of Periodic Functions, Convolution, Applications.

Author(s): S. Ghorai

NA Pages

Ordinary Differential Equations Lecture Notes by Eugen J. Ionascu

This note explains the following topics: Solving various types of differential equations, Analytical Methods, Second and n-order Linear Differential Equations, Systems of Differential Equations, Nonlinear Systems and Qualitative Methods, Laplace Transform, Power Series Methods, Fourier Series.

Author(s): Eugen J. Ionascu

112 Pages

Introduction to Partial Differential Equations

Goal of this note is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. Topics covered includes: Power Series, Symmetry and Orthogonality, Fourier Series, Partial Differential Equations, PDE’s in Higher Dimensions.

Author(s): John Douglas Moore

169 Pages

Lectures on Partial Differential Equations

This note explains the following topics: The translation equation, The wave equation, The diffusion equation, The Laplace equation, The Schrodinger equation, Diffusion and equilibrium, Fourier series, Fourier transforms, Gradient and divergence, Spherical harmonics.

Author(s): William G. Faris

123 Pages

Lectures on Differential Equations

This note covers the following topics: First Order Equations and Conservative Systems, Second Order Linear Equations, Difference Equations, Matrix Differential Equations, Weighted String, Quantum Harmonic Oscillator, Heat Equation and Laplace Transform.

Author(s): Craig A. Tracy

175 Pages

Differential Equations by Paul Selick

This note describes the following topics: First Order Ordinary Differential Equations, Applications and Examples of First Order ode’s, Linear Differential Equations, Second Order Linear Equations, Applications of Second Order Differential Equations, Higher Order Linear Differential Equations, Power Series Solutions to Linear Differential Equations, Linear Systems, Existence and Uniqueness Theorems, Numerical Approximations.

Author(s): Paul Selick

174 Pages

Integral And Differential Equations

This book covers the following topics: Geometry and a Linear Function, Fredholm Alternative Theorems, Separable Kernels, The Kernel is Small, Ordinary Differential Equations, Differential Operators and Their Adjoints, G(x,t) in the First and Second Alternative and Partial Differential Equations.

Author(s): Professor Jim Herod

NA Pages

Integral And Differential Equations

This note covers the following topics: Integral Equations, Ordinary Differential Equations, Partial Differential Equations.

Author(s): Professor Jim Herod

NA Pages

Monograph on quasilinear partial differential equations (EJDE)

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Entropy and Partial Differential Equations(Evans L.C pdf)

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Partial Differential Equations of Mathematical Physics

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Analytic differential equations

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Exterior Differential Systems and Euler Lagrange Partial Differential Equations

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages