An initial value problem (IVP) in differential equations is a problem that involves finding a solution to a differential equation that satisfies certain initial conditions. These initial conditions are usually specified as the values of the unknown function and its derivatives at a given point in the domain. The solution to an IVP is unique if it exists.
Laplace transformations are advantageous because they simplify the solving of differential equations by transforming them into algebraic equations. They are particularly useful for analyzing linear time-invariant systems in engineering and physics due to their ability to handle functions with discontinuities and initial conditions. Additionally, Laplace transforms provide a powerful tool for analyzing system stability and response to various inputs.
Mary Lucy Cartwright was a British mathematician who made significant contributions to the field of chaos theory and differential equations. She is well-known for her work on the Cartwright-Littlewood theorem, which provides a criterion for the convergence of Fourier series.
Intravenous pyelogram (IVP) is a radiographic study involving the urinary system. It uses a contrast material injected into a vein to visualize the kidneys, ureters, and bladder on X-ray images. IVP is primarily used to evaluate the structure and function of the urinary system.
d. differential weathering
IVP, or intravenous pyelogram, is a diagnostic imaging test that uses contrast dye to visualize the kidneys, ureters, and bladder. When it reveals a urolith in the left ureter, it means that a stone is present in the left tube connecting the kidney to the bladder. This can cause pain, obstruction of urine flow, and potential complications if not treated.
Initial Value Problem. A differential equation, coupled with enough initial conditions for there to be a unique solution. Example: y'' - 6y = exp(x) ; y'(0) = y(0) = 0
P. Quittner has written: 'Superlinear parabolic problems' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations
George Francis Denton Duff has written: 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'Differential equations of applied mathematics' -- subject(s): Differential equations, Differential equations, Partial, Mathematical physics, Partial Differential equations
J. L Blue has written: 'B2DE' -- subject(s): Computer software, Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Partial, Elliptic Differential equations, Nonlinear Differential equations, Partial Differential equations
Laurent Veron has written: 'Singularities of solutions of second order quasilinear equations' -- subject(s): Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Parabolic, Elliptic Differential equations, Nonlinear Differential equations, Numerical solutions, Parabolic Differential equations, Singularities (Mathematics)
Elemer E. Rosinger has written: 'Generalized solutions of nonlinear partial differential equations' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Nonlinear Differential equations, Numerical solutions, Partial Differential equations 'Distributions and nonlinear partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations, Theory of distributions (Functional analysis)
David L. Colton has written: 'Analytic theory of partial differential equations' -- subject(s): Differential equations, Partial, Numerical solutions, Partial Differential equations 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations
Daniel W. Stroock has written: 'Probability Theory, an Analytic View' 'An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys & Monographs)' 'Partial differential equations for probabalists [sic]' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations, Probabilities 'Essentials of integration theory for analysis' -- subject(s): Generalized Integrals, Fourier analysis, Functional Integration, Measure theory, Mathematical analysis 'An introduction to partial differential equations for probabilists' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations, Probabilities 'Probability theory' -- subject(s): Probabilities 'Topics in probability theory' 'Probability theory' -- subject(s): Probabilities
Fritz John has written: 'Partial differential equations, 1952-1953' -- subject(s): Differential equations, Partial, Partial Differential equations 'Fritz John collected papers' 'Partial differential equations' 'On finite deformations of an elastic material' 'Plane waves and spherical means applied to partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'On behavior of solutions of partial differential equations'
No. Differential equations come up in Calculus.
Differential Equations - journal - was created in 1965.
Enzo Mitidieri has written: 'Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Inequalities (Mathematics), Nonlinear Differential equations, Partial Differential equations