Boundaryvalueproblems(BVPs)areaclassofdifferentialequationswherethesolutionisdeterminedbyimposingconditionsatmorethanonepoint.Unlikeinitialvalueproblems,whichspecifyconditionsatasinglepoint,BVPsrequireconditionsattheboundariesofthedomain.Theseproblemscommonlyariseinphysicsandengineering,suchasinheatconduction,wavepropagation,andstructuralanalysis.SolvingBVPsofteninvolvesanalyticaltechniqueslikeseparationofvariablesornumericalmethodssuchasfinitedifferencesandshootingmethods.ThestudyofBVPsisessentialforunderstandingsystemswherebehaviorisconstrainedbymultipleboundaryconditions.
