離散Volterra方程的概周期解與漸近概周期解.pdf

1、蘇州大學(xué)碩士學(xué)位論文離散Volterra方程的概周期解與漸近概周期解姓名：陸庭申請學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：宋亦洪20090401AlmostperiodicsolutionsAbstractAlmostPeriodicSolutionsandAsymptoticallyAlmostPeriodicSolutionsofDiscreteVolterraEquationsAbstractFordiscreteVolterrae

2、quationswithorwithoutdelaywestudythefollowingVolterrasystemsundercertainconditionsandz(n)=a(n)oo∑B(n，歹，z0))∑A(n，歹，z0))，j=on，=n∞z(n)=a(n)∑B(n，歹z0))∑A(n，歹，z0))，j=ooj=n∞x(n)=p(n)∑F(n，歹，。0))∑E(n，j『，z(歹))，，o一∞，2nwhereo(禮)，B(n

3、，互z)andA(他，歹，。)aregivenvectorsequencesandconvergetop(n)，F(xiàn)(n，j『，$)andE(n，歹，z)insomesense(seebelowinSection2)Equations(3)isalimitingequationof(1)，whileEq(2)isaperturbedformof(3)weobtainseverMresultsconcerningalmostperiodic

4、solutionsandasymptoticallyalmostperiodicsolutions，boundedsolutionsandalmostperiodicsolutionsMoreover，wealsoconsiderthefollowingdifferenceequationssystemsinthewholeline，andobtainsomerelationsbetweenthealmostperiodicsoluti