On Multiple Integral Chebyshev Wavelets Collocation Method (MICWCM) for Solving Linear and Non-linear Second-order Differential Equations

2015 ◽  
Vol 10 (6) ◽  
pp. 1-8
Author(s):  
O. Adewumi ◽  
M. Oke ◽  
R. Raji
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Multiple Integral ◽  
Second Order ◽  
Chebyshev Wavelets ◽  
Second Order Differential Equations ◽  
Non Linear

scholarly journals Boundedness of Solutions for Second Order Differential Equations

2020 ◽  
Vol 12 (4) ◽  
pp. 58
Author(s):  
Daniel C. Biles
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Boundedness Of Solutions ◽  
Second Order Differential Equations ◽  
All Solutions ◽  
Non Linear ◽  
Linear Differential

We present new theorems which specify sufficient conditions for the boundedness of all solutions for second order non-linear differential equations. Unboundedness of solutions is also considered.

The generalization of modal subspaces in the complex domain

1969 ◽  
Vol 65 (3) ◽  
pp. 731-740
Author(s):  
H. Swann ◽  
C. P. Atkinson ◽  
B. L. Dhoopar
Keyword(s):  
Positive Integer ◽  
Differential Equations ◽  
Real Variable ◽  
Complex Variables ◽  
Second Order ◽  
Complex Domain ◽  
The Real ◽  
Second Order Differential Equations ◽  
Non Linear ◽  
Image Position

The purpose of this paper is to present the concept of ‘modal subspaces’ for systems of coupled non-linear autonomous homogeneous second-order differential equations of the complex variables z1, z2. This development is an extension of the previous paper, entitled ‘Modal subspaces in the complex domain’, by Atkinson and Swann (6), which dealt with a pair of coupled non-linear autonomous homogeneous second-order differential equations of the formDifferentiation is with respect to a real variable t and ajk and bjk are constants which may be complex: n is any positive integer: f1 and f2 are the real and imaginary parts respectively of g1 and g2 are real and imaginary parts respectively of and zj = xj + iyj (j = 1, 2).

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