scholarly journals Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Hongyu Li ◽  
Junting Zhang
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Lattice Structure ◽  
Boundary Value ◽  
Second Order ◽  
Negative Solution ◽  
Nontrivial Solutions ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

By using fixed point theorems with lattice structure, the existence of negative solution and sign-changing solution for some second-order multipoint boundary value problems is obtained.

scholarly journals A study of a more general class of nonlocal integro-multipoint boundary-value problems of fractional integro-differential inclusions

2021 ◽  
Vol 73 (6) ◽  
pp. 763-799
Author(s):  
B. Ahmad ◽  
S. K. Ntouyas ◽  
A. Alsaedi
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
General Class ◽  
Differential Inclusions ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Existence Theory ◽  
Multivalued Maps ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

UDC 517.9We develop the existence theory for a more general class of nonlocal integro-multipoint boundary value problems ofCaputo type fractional integro-differential inclusions. Our results include the convex and non-convex cases for the givenproblem and rely on standard fixed point theorems for multivalued maps. The obtained results are illustrated with the aidof examples. The paper concludes with some interesting observations.

Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations

2010 ◽  
Vol 53 (3) ◽  
pp. 475-490
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Arguments ◽  
Multipoint Boundary ◽  
Monotone Iterative ◽  
Second Order Differential Equations ◽  
Multipoint Boundary Value Problems

AbstractIn this paper we shall discuss nonlinear multipoint boundary value problems for second order differential equations when deviating arguments depend on the unknown solution. Sufficient conditions under which such problems have extremal and quasi-solutions are given. The problem of when a unique solution exists is also investigated. To obtain existence results, a monotone iterative technique is used. Two examples are added to verify theoretical results.

scholarly journals Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hongyu Li
Keyword(s):  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Nonlinear Term ◽  
Lattice Structure ◽  
Boundary Value ◽  
Point Boundary ◽  
Nontrivial Solutions ◽  
Asymptotically Linear ◽  
Sign Changing Solutions ◽  
Ordered Banach Spaces

Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. Our results improve and generalize on those in the literatures.

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.

scholarly journals Boundary Value Problems forq-Difference Inclusions

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Nonseparated Boundary Conditions ◽  
Difference Inclusions ◽  
The Right

We investigate the existence of solutions for a class of second-orderq-difference inclusions with nonseparated boundary conditions. By using suitable fixed-point theorems, we study the cases when the right-hand side of the inclusions has convex as well as nonconvex values.

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