Based on your description the skin condition, it appears that you have Seborrheic dermatitis. Sometimes they co-exist with dandruff and can be determined with more precision during a consultation. A photograph will add in obtaining better recommendations. Kindly consult a dermatologist for exact diagnosis and treatment plan. It is also important to prevent their relapse once you have got it cured. You should use a good anti-dandruff shampoo everyday for first week and then reduce the application to twice a week for maintenance. You should keep the shampoo at-least for 5 minutes on the scalp for it to act.