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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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★★★★★ 4
Cute for coffee bar!
Color: Black, Number Of Shelves: 4, Size: 15.7in
Great for above my coffee bar. Easy to mount and align. Seems stable!
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Reviewed in the United States on April 14, 2026
★★★★★ 5
Great shelves, strong, secure, sturdy, decent size, unbeatable price.
Color: White, Number Of Shelves: 4, Size: 15.7in
Easy installation fits where we wanted them. Stable strong secure snug fit. Cleans easily with dust wipe. I would recommend buying these.
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Reviewed in the United States on May 19, 2026
★★★★★ 3
The shelves sag away from the wall overtime
Color: White, Number Of Shelves: 2, Size: 15.7in, Color: White, Number Of Shelves: 2, Size: 15.7in
Although the wood quality and finish of the shelf are clean and well-made, the main issue is that the shelves begin to sag over time while holding around 10 pounds, even though the product listing claims they can support up to 20 pounds. They may perform better on a brick wall, but on drywall you should be cautious.
To fix the problem, I had to purchase floating shelf brackets for support, which solved the sagging issue. However, this defeats the purpose of the “floating” aesthetic. Since the shelf is in my bedroom, I can overlook it, but I personally wouldn’t install these in a common area if I wanted a clean floating look.
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Reviewed in the United States on May 27, 2026
★★★★★ 5
Love this
Color: Rustic Brown, Number Of Shelves: 4, Size: 15.7in
Love these shelves so easy to put up so beautifully made and really enjoy the way they set on my wall very sturdy also!
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Reviewed in the United States on May 21, 2026
★★★★★ 5
Looks nice, easy to install
Color: Rustic Brown, Number Of Shelves: 2, Size: 22in
This shelf is lightweight, looks nice, and was easy to install. It comes with a little level to help you install it properly. There are plenty of mounting holes to choose from, so it is easy to screw it directly into a stud, or to just use holes that are convenient for you. It comes with a plethora of mounting hardware.
I mounted mine a bit high up and chose to mount it upside down so that I wouldn't see the three screws that hold the shelf to the mounting bracket.
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Reviewed in the United States on April 8, 2026