Theasymptoticdistributionsareexactlysolvedforlinearlyindependentsolutionsconsideringproblemofthesecondorderandforthecoefficientsofasymptoticdistributiontherecurrentformulasareobtained.Further,usingobtainedrecurrentformulasthenecessaryandsufficientconditionsforalmostregularityofspectralproblemfortheequationofthesecondorderisproved.