Abstract
We prove the existence of a homoclinic orbit for Lagrangian system (LS) where the Lagrangian L(t,x,y) = 1/2 {Sigma}a{sub ij}(x)y{sub i}y{sub j} - V(t,x). A similar argument to (Ra) is used, where a{sub ij}(x) is an identity matrix. Now the differential equation is quasilinear and more estimates are needed to get the uniform bound for the second derivative of periodic sequence {l_brace}x{sub k}(t){r_brace} with period 2 kT. (author). 6 refs.
Citation Formats
Shaoping, Wu.
A homoclinic orbit for Lagrangian systems.
IAEA: N. p.,
1991.
Web.
Shaoping, Wu.
A homoclinic orbit for Lagrangian systems.
IAEA.
Shaoping, Wu.
1991.
"A homoclinic orbit for Lagrangian systems."
IAEA.
@misc{etde_10132846,
title = {A homoclinic orbit for Lagrangian systems}
author = {Shaoping, Wu}
abstractNote = {We prove the existence of a homoclinic orbit for Lagrangian system (LS) where the Lagrangian L(t,x,y) = 1/2 {Sigma}a{sub ij}(x)y{sub i}y{sub j} - V(t,x). A similar argument to (Ra) is used, where a{sub ij}(x) is an identity matrix. Now the differential equation is quasilinear and more estimates are needed to get the uniform bound for the second derivative of periodic sequence {l_brace}x{sub k}(t){r_brace} with period 2 kT. (author). 6 refs.}
place = {IAEA}
year = {1991}
month = {Dec}
}
title = {A homoclinic orbit for Lagrangian systems}
author = {Shaoping, Wu}
abstractNote = {We prove the existence of a homoclinic orbit for Lagrangian system (LS) where the Lagrangian L(t,x,y) = 1/2 {Sigma}a{sub ij}(x)y{sub i}y{sub j} - V(t,x). A similar argument to (Ra) is used, where a{sub ij}(x) is an identity matrix. Now the differential equation is quasilinear and more estimates are needed to get the uniform bound for the second derivative of periodic sequence {l_brace}x{sub k}(t){r_brace} with period 2 kT. (author). 6 refs.}
place = {IAEA}
year = {1991}
month = {Dec}
}