This paper studies the existence of nontrivial solution to a nonlinear fourthorder three-point boundary value problem, where the nonlinear term is a strong Carathodory function and contains all order derivatives of un...This paper studies the existence of nontrivial solution to a nonlinear fourthorder three-point boundary value problem, where the nonlinear term is a strong Carathodory function and contains all order derivatives of unknown function. By introducing a height function of nonlinear term on some bounded set and considering the integration of the height function, some existence results are obtained.展开更多
The iterative technique of sign-changing solution is studied for a nonlinear third-order two-point boundary value problem, where the nonlinear term has the time sin-gularity. By applying the monotonically iterative te...The iterative technique of sign-changing solution is studied for a nonlinear third-order two-point boundary value problem, where the nonlinear term has the time sin-gularity. By applying the monotonically iterative technique, an existence theorem is established and two useful iterative schemes are obtained.展开更多
文摘This paper studies the existence of nontrivial solution to a nonlinear fourthorder three-point boundary value problem, where the nonlinear term is a strong Carathodory function and contains all order derivatives of unknown function. By introducing a height function of nonlinear term on some bounded set and considering the integration of the height function, some existence results are obtained.
基金Supported by the National Natural Science Foundation of China (11071109)
文摘The iterative technique of sign-changing solution is studied for a nonlinear third-order two-point boundary value problem, where the nonlinear term has the time sin-gularity. By applying the monotonically iterative technique, an existence theorem is established and two useful iterative schemes are obtained.
