摘要：In this paper, we study the advanced differential equations [ r ( t ) x ′ ( t ) α − 1 x ′ ( t ) ] ′ + ∑ i = 1 n p i ( t ) x ( t + τ i ( t ) ) α − 1 x ( t + τ i ( t ) ) = 0 and [ r ( t ) ( y ( t ) − P ( t ) y ( t − τ ) ) ′ ] ′ + ∑ i = 1 n p i ( t ) f ( y ( t + σ ) ) = 0 . By using the generalized Riccati transformation and the Schauder-Tyichonoff theorem, we establish the conditions for the existence of positive solutions of the above equations. MSC:34K11, 39A10.
关键词：advanced differential equations ; positive solutions ; existence
