Existence of Solutions of Nonlinear Mixed Two-Point Boundary Value Problems for Third-Order Nonlinear Differential Equation
The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation y′′′=f(x,y,y′,y′′), y′(b)=h(y′(a)), p(y(a),y(b),y′(a),y′(b))=0, g(y(a),y(b),y′(a),y′(b),y′′(a),y′′(b))=0. S...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/262139 |
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| Summary: | The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation y′′′=f(x,y,y′,y′′), y′(b)=h(y′(a)), p(y(a),y(b),y′(a),y′(b))=0, g(y(a),y(b),y′(a),y′(b),y′′(a),y′′(b))=0. Some new existence results are obtained by developing the upper and lower solution method. Some applications are also presented. |
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| ISSN: | 1110-757X 1687-0042 |