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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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★★★★★ 5
MUST HAVE INSURANCE!
Excellent process to submit a claim! Easy claim submission, took less than 3 days for claim approval!
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Reviewed in the United States on June 11, 2026
★★★★★ 5
Quick and Fantastic Service!
I include the additional protection for all of my high dollar purchases. This was the first time I have ever had to use it. I had an extension to provide additional screens to my laptop. Unfortunately, it developed an issue. Submitting a claim was easy and straightforward. UPS came the next day to pick it up and I was notified in just a couple of days that it was received. Only a couple of days after that, I received an email stating that my laptop screens were not repairable and I was given an Amazon card for the entire purchase price. I could not have been more pleased, as the purchase price was $599 and was a huge splurge for me in the first place. I was able to quickly replace the screens and back in business in no time. I would recommend this protection plan for any high dollar purchase.
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Reviewed in the United States on January 12, 2024
★★★★★ 5
They paid on the policy
I bought a four year replacement policy on my modem and two years into its lifespan it stopped working. I trouble shot with the company but we eventually determined it was dead. I contacted Asurion, they sent me a pre-paid address label, I mailed the defective modem, they found that it was dead and deposited a credit in the amount of the original purchase in my Amazon account, all within a few days. I am quite happy with the service. Just so you know, the reimbursement is through a gift card at Amazon which you can draw down against your purchases; it is not CASH.
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Reviewed in the United States on June 26, 2024
★★★★★ 5
Nearly 3 years later, Asurion had my back :)
In Nov of 2017 I bought a $900 35" Ultra wide PC monitor for Gaming and Work.
It was made by a company called AOC/Envision and I bought it through amazon.
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I told an Asurion agent in a instant messaging chat window on the Asurion website my problem and she sent me postage in an email. I shipped my product and in 5 days from shipping it I received a text telling me that it was beyond repair and I would be getting a FULL REFUND!
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I will not be making any big purchases without an Asurion plan going forward. Happy customer
Don't buy anything AOC
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Reviewed in the United States on October 16, 2020
★★★★★ 4
Received a refund
I purchased the 4-year protection plan offered at the time I purchased a refurbished printer. Seven months later the printer failed, so I went searching through my Amazon orders for my protection plan and located it. Once I created an account on Asurion's website it showed the the plan but it was not attached to a specific purchase, so I had to locate and upload the invoice for my printer. Once that was done, the policy still wasn't linked for some unknown reason. I proceeded to start the claim anyway stating that my printer had failed and I received an immediate reply stating that a box would be shipped to me for me to return the printer for inspection/repair. After a week I hadn't seen any additional info so I called their support phone #. The service was very good and they had to create a new case to replace the one I started online, and they assured me that a shipping box would be sent. About a week later I did receive the box with a prepaid shipping label to return the item by UPS. I packaged the printer up and sent it off. I received updates stating that they received it, were looking at it and attempting repairs. Everything appeared to be going along well, then out of the blue they sent me a notification of a full refund in the form of an Amazon gift card. Overall I'm satisfied and I'm glad I purchased the coverage.
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Reviewed in the United States on October 6, 2022
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