... by Theorem 4.1,thatifq ∈ 1, 2, then u is the recessive solution of 5.21and hence yk hk1is the recessive solution of 5.22. Consequently, hk kp−1/pis the recessive solution of ... ∞, 4.9then h is not the recessive solution. Proof. Similarly, as in the proof of Theorem 4.1, denote wk rkΦΔhk/hk and let wkbe a solution of 2.1 generated by another solution ... any other solution of 5.15. Consequently, v is the distinguished solution of 5.15and hence u is the recessive solution of 5.14.Now suppose that 5.12 holds. Then all solutions w of 2.1...