What is a Lipschitz condition?

This is a basic introduction to Lipschitz conditions within the context of differential equations. Lipschitz conditions are connected with `"contractive mappings'", which have important applications to the existence, uniqueness and approximation of solutions to equations -- including ordinary differential equations.

[zonglangfrancis]

This is a great way to simplify a concept. Thanks a lot, Dr. Chris.

[DrChrisTisdell]

Thanks for the comment. The book will be published by Springer (and I expect there will be an ebook version.) Best wishes.

[maurapintor]

Thank you! Awesome and clear explanation, not too long and very helpful! Understandable language for Italians, too :)

[ThePlec]

Amazing how you simplify such a thing that has eluded my understanding for almost a year. :-)

[junaidjawaid]

Thank you Dr. Tisdell for taking out the time to make this video. It really cleared my concept and was helpful to me and so many other.

[pranaowalekar]

the lecture was awesome. cleared my concepts in one go. keep up the good work!

[gauravkumawat]

Sir, this was very nice way to show the explanation of a very much complex topic, very much happy to find first time the meaning of this, hats off to you sir

[TheSarmientos]

Dr. Tisdell thank you very much.
An extremely thankful math student from Norway.
Sergio.

[nesta]

Excellent presentation. Very precise and plenty of examples. Much appreciated!

[omkar.c.kadale]

Thank you so much Dr chris for the video you cleared my doubt in too simple way

[amargupta]

awesome content has been presented in this video, very less resources are there for clear explanation. Thanks Dr Chris

[theproofessayist]

You could mention to help your presentation when you went over the example of two functions added where the trigonometric function is added with a polynomial function that the derivative is a linear transformation so we can examine bit by bit and that because cosine is bounded between unit circle from -1<=y<=1 that we can ignore that derivative and focus on derivative of the cubic function unless I'm missing something.

[sathyam]

Sir kindly explain the Lipchitz cond for x^3(e^xy^2), o<x<a, |y|< infinity

[gracemisere]

Waaaaw, i like this, the explanation is so clear.Thank you for this

[GAGANDEEP]

Thank you Dr. Tisdell. This is an awesome and very clear explanation of the concept.

[nardiverbanac]

Dear dr. Tisdell, could You make an example for the calculation of a Lipschitz constant for a vector valued function?

[md.alamgirhossain]

really helpful.Respect from Bangladesh

[tranducthien]

Thank you very much Dr. Chris for the useful video.

[vijaysinghchauhan]

very simplistically explained the concept.

[AFK]

Thank you for your effort and for the explanation!