Related Experiment Video
Updated: Aug 9, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
Published on: August 30, 2013
Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative
1Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China. yaoqingliu2002@hotmail.com
Abstract:
Several existence theorems were established for a nonlinear fourth-order two-point boundary value problem with second derivative by using Leray-Schauder fixed point theorem, equivalent norm and technique on system of integral equations. The main conditions of our results are local. In other words, the existence of the solution can be determined by considering the "height" of the nonlinear term on a bounded set. This class of problems usually describes the equilibrium state of an elastic beam which is simply supported at both ends.
More Related Videos
Related Concept Videos
One-Degree-of-Freedom System
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Second Derivatives and Laplace Operator
Consider a scalar function. The curl of its...
First Derivative Test: Problem Solving
Second Derivative Test: Problem Solving
Differential Equations: Problem Solving
Multivariable Functions and Higher Derivatives

