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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & computing Journal of applied mathematics & computing 제23권 제1호
- 발행연도
- 2007.1
- 수록면
- 167 - 182 (16page)
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The existence of solutions of the following multi-point boundary value problem $${x^{(n)}(t)=f(t,\;x(t),\;x'(t),{\cdots}, x^{(n-2)}(t))+r(t),\;0<t<1,\;x^{(i)}({\xi}_i)=0\;for\;i=0,\;1,{\cdots},\;n-3,\;{\alpha}x^{(n-2)}(0)-{\beta}x^{(n-1)}(0)={\gamma}x^{(n-1)}(1)+{\tau}x^{(n-2)}(1)=0$$ is studied. Sufficient conditions for the existence of at least one solution of BVP(*) are established. It is of interest that the growth conditions imposed on f are allowed to be super-linear (the degrees of phases variables are allowed to be greater than 1 if it is a polynomial). The results are different from known ones since we don't apply the Green's functions of the corresponding problem and the method to obtain a priori bounds of solutions are different enough from known ones. Examples that can not be solved by known results are given to illustrate our theorems.
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