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We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form
x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
Bingwen Liu. "Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments." Annales Polonici Mathematici 89.3 (2006): 247-258. <http://eudml.org/doc/280603>.
@article{BingwenLiu2006, abstract = {
We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form
x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
}, author = {Bingwen Liu}, journal = {Annales Polonici Mathematici}, keywords = {Duffing equation; Deviating argument; Periodic solution; Coincidence degree}, language = {eng}, number = {3}, pages = {247-258}, title = {Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments}, url = {http://eudml.org/doc/280603}, volume = {89}, year = {2006}, }
TY - JOUR AU - Bingwen Liu TI - Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments JO - Annales Polonici Mathematici PY - 2006 VL - 89 IS - 3 SP - 247 EP - 258 AB -
We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form
x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
LA - eng KW - Duffing equation; Deviating argument; Periodic solution; Coincidence degree UR - http://eudml.org/doc/280603 ER -