Positive Solutions For Two Classes Of Third-order BVP With Integral Boundary Conditions

Recently, third-order boundary value problems have attracted a lot of attentionfor its wide application background and practical background. For example, heatconduction, chemical engineering, underground water ?ow, thermo-elasticity andplasma physics can be reduced to boundary value problems with integral boundaryconditions. So, it provided powerful realistic bases to studied general boundaryvalue problems with integral boundary conditions.Therefore, in chapter 2, we studied the third-order boundary value problemwith integral boundary conditionswhere f∈C([0,1]×[0,+∞),[0,+∞)) and g∈C([0,1],[0,+∞)). By using Leggett-Williams fixed point theorem, some su?cient conditions are obtained for three pos-itive solutions to the above problem. in chapter 3, we concerned with the followingthird-order boundary value problem with integral boundary conditionswhere f∈C([0,1]×[0,+∞)×[0,+∞),[0,+∞)) and g∈C([0,1],[0,+∞)). By usingGuo-Krasnoselskii fixed point theorem, some su?cient conditions are obtained forthe existence and nonexistence of monotone positive solution to the above problem.