Gregory S. Spradlin
We study the differential equation , where is a double-well potential with minima at and as . It is proven that under certain additional assumptions on , there exists a heteroclinic solution to the differential equation with as and as . The assumptions allow to change sign for arbitrarily large values of , and do not restrict the decay rate of as .
Submitted May 21, 2009. Published September 23, 2010.
Math Subject Classifications: 34B40, 34C37.
Key Words: Heteroclinic; non-autonomous equation; bounded solution; variational methods.
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| Gregory S. Spradlin |
Department of Mathematics, Embry-Riddle University
Daytona Beach, Florida 32114-3900, USA
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