Positive Solutions for Third-Order p -Laplacian Functional Dynamic Equations on Time Scales

الملخص EN

We study the following third-order p -Laplacian functional dynamic equation on time scales: Φ p ( u Δ ∇ ( t ) ) ∇ + a ( t ) f ( u ( t ) , u ( μ ( t ) ) ) = 0 , t ∈ 0 , T T , u ( t ) = φ ( t ) , t ∈ - r , 0 T , u Δ ( 0 ) = u Δ ∇ ( T ) = 0 , and u ( T ) + B 0 ( u Δ ( η ) ) = 0 .

By applying the Five-Functional Fixed Point Theorem, the existence criteria of three positive solutions are established.