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Description
Oscillations in Nonlinear SystemsBy focusing on ordinary differential equations that contain a small parameter, this concise graduate level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds. Part I of the text features
By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/20/2015
ISBN: 9780486673622
Pages: 192
Weight: 0.47lbs
Size: 8.42h x 5.37w x 0.40d
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Reviewed in the United States on April 23, 2026
★★★★★ 5
Asurion coverage was worth every penny!
Bought a window AC in 2020 and was offered Asurion coverage at checkout. Paid $39 for the 4 year plan and never expceted it would be worth the money paid. Honestly, never expected to even use it. That said...the AC failed about 2 years later so I made a claim online. The claim went in but required a call to an Asurion rep (very nice guy on the phone). He asked a few questions then told me the claim was approved. Total time to for the entire process was about 15 mins. I had the choice of having it repaired or a refund check. I asked for the refund. An emailed pre-paid UPS label was recieved a few minites later and the guy said they'd mail me a check when the UPS package was received, so I dropped it off at UPS. Three weeks later I had a check in my hand for $399 (the excact cost I paid for the AC unit 2 years before minus taxes paid). Really easy process and quick time to receive the check. The only thing to note is that if you make a purchase like that (large electronic or home appliance)...keep that box and packaging. Luckily I had it all and just popped it back into the box for shipment. Not sure how I would have dealt with that if I hadn't saved the box. Thank you Asurion, for delivering on your promise of quick and easy extended warranty payment. I'll defintely purchase the plan again with my replacement AC!
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Reviewed in the United States on January 20, 2023
★★★★★ 5
Best warranty ever.
Outstanding. No questions asked.
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Reviewed in the United States on June 4, 2026
★★★★★ 4
Clean air
I bought it to clean the air in the house took a few days to get it linked to my phone but finally got it working. It’s a little complicated because I didn’t know how to set it but getting better at it. I think it’s a good product.
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Reviewed in the United States on April 10, 2023
★★★★★ 5
Awesome Process
Fast, Easy process which is much appreciated. I was able to work through the process efficiently and will be using them on future purchases. I would highly recommend Asurion to protect your next purchase. Thank you!
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Reviewed in the United States on March 6, 2026