Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions

2000 ◽  
Vol 7 (4) ◽  
pp. 677-688 ◽  
Author(s):  
P. Kelevedjiev ◽  
N. Popivanov
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
A Priori ◽  
Existence Results ◽  
Second Order ◽  
Point Boundary ◽  
A Priori Bounds ◽  
Barrier Strips

Abstract The existence results obtained for the Dirichlet and mixed BVPs for the equation x ″ = f (t, x, x′) are extended to BVPs with full nonlinear conditions. The proofs are based on the theorem of Granas, Guenther and Lee, while barrier strips are used to obtain a priori bounds for solutions.

scholarly journals A new result of Presic type theorems with applications to second order boundary value problems

Filomat ◽  
2021 ◽  
Vol 35 (7) ◽  
pp. 2257-2266
Author(s):  
Ishak Altun ◽  
Muhammad Qasim ◽  
Murat Olgun
Keyword(s):  
Fixed Point ◽  
Theoretical Result ◽  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Existence Results ◽  
Second Order ◽  
Point Boundary ◽  
Special Case

In this paper, taking into account the recent contractive technique we present a new result of Presic type fixed point theorems. Then, we provide a comparative example to put forth the validity of our theoretical result. Finally, considering a special case of the main theorem, we give some existence results for the second order two point boundary value problems.

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