
The authors study the existence of periodic and homoclinic solutions to fourth-order semilinear equations via variational methods. The following problem is solved: \[ u^{iv}-pu''- a(x)u+b(x)u^3=0,\quad 0
homoclinic solutions, Applied Mathematics, existence, periodic solutions, Homoclinic and heteroclinic solutions to ordinary differential equations, Periodic solutions to ordinary differential equations, extended Fisher-Kolmogorov equations, Analysis, periodic and homoclinic solutions
homoclinic solutions, Applied Mathematics, existence, periodic solutions, Homoclinic and heteroclinic solutions to ordinary differential equations, Periodic solutions to ordinary differential equations, extended Fisher-Kolmogorov equations, Analysis, periodic and homoclinic solutions
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