6533b823fe1ef96bd127f707
RESEARCH PRODUCT
Dirichlet Boundary Value Problem for the Second Order Asymptotically Linear System
Inara YermachenkoFelix SadyrbaevArmands Gritsanssubject
Article SubjectDirichlet conditionslcsh:MathematicsApplied Mathematics010102 general mathematicsMathematical analysisMixed boundary conditionDirichlet's energylcsh:QA1-93901 natural sciences010101 applied mathematicssymbols.namesakeDirichlet eigenvalueGeneralized Dirichlet distributionDirichlet's principleDirichlet boundary conditionsymbolsBoundary value problem0101 mathematicsAnalysisMathematicsdescription
We consider the second order system x′′=f(x) with the Dirichlet boundary conditions x(0)=0=x(1), where the vector field f∈C1(Rn,Rn) is asymptotically linear and f(0)=0. We provide the existence and multiplicity results using the vector field rotation theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 | International Journal of Differential Equations |