论文信息 - Studies on Neumann-type boundary value problems for second-order nonlinear p-Laplacian-like functional differential equations☆

Studies on Neumann-type boundary value problems for second-order nonlinear p-Laplacian-like functional differential equations☆

Abstract New sufficient conditions for the existence of at least one solution of Neumann-type boundary value problems for the second-order nonlinear differential equations { ( p ( t ) ϕ ( x ′ ( t ) ) ) ′ = f ( t , x ( t ) , x ( τ 1 ( t ) ) , … , x ( τ m ( t ) ) ) , t ∈ [ 0 , T ] , x ′ ( 0 ) = N , x ′ ( T ) = M , are established.

Yuji Liu

[1] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[2] P. Drábek,et al. On semilinear problems with nonlinearities depending only on derivatives , 1996 .

[3] Alberto Cabada,et al. Monotone method for the Neumann problem with lower and upper solutions in the reverse order , 2001, Appl. Math. Comput..

[4] Ravi P. Agarwal,et al. Focal Boundary Value Problems for Differential and Difference Equations , 1998 .

[5] D. O’Regan,et al. Positive Solutions of Differential, Difference and Integral Equations , 1998 .

[6] Petr Girg. Neumann and Periodic Boundary-Value Problems for Quasilinear Ordinary Differential Equations with a Nonlinearity in the Derivative , 2000 .

[7] Existence de Solutions au Sens de Carathéodory Pour le Problème de Neumann y″ = f(t, y, y′) , 1991, Canadian Journal of Mathematics.

[8] A. Granas,et al. Topological transversality. II. Applications to the Neumann problem for y′′ = f(t, y, y′) , 1983 .

[9] A. Boucherif,et al. Solvability of Neumann boundary-value problems with Caratheodory nonlinearities. , 2004 .

[10] E. N. Dancer. On the ranges of certain damped nonlinear differential equations , 1979 .