scholarly journals Boundary value problems singular in the solution variable with nonlinear boundary data

1996 ◽  
Vol 39 (3) ◽  
pp. 505-523 ◽  
Author(s):  
Donal O'Regan
Keyword(s):  
Boundary Value Problems ◽  
Boundary Data ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Existence Results

Existence results are established for the equation y″ + f(t, y) = 0, 0<t<1. Here f may be singular in y and f is allowed to change sign. Our boundary data include y(0) = y′(1) + ky(1) = 0, k> – 1 and y(0) = y′(1) + cy4(1) = 0, c>0.

scholarly journals Nonlinear multipoint boundary value problems for weakly coupled systems

1999 ◽  
Vol 60 (1) ◽  
pp. 45-54 ◽  
Author(s):  
H.B. Thompson ◽  
C.C. Tisdell
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Conditions ◽  
Existence Results ◽  
Coupled Systems ◽  
Multipoint Boundary ◽  
Weakly Coupled ◽  
Weakly Coupled Systems ◽  
Multipoint Boundary Value Problems

We establish existence results concerning solutions to multipoint boundary value problems for weakly coupled systems of second order ordinary differential equations with fully nonlinear boundary conditions.

scholarly journals Existence results for nonlinear boundary value problems

Filomat ◽  
2018 ◽  
Vol 32 (2) ◽  
pp. 609-618 ◽  
Author(s):  
Abdeljabbar Ghanmi ◽  
Samah Horrigue
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Boundary Value Problems ◽  
Point Theorem ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Existence Results ◽  
Nonlinear Boundary Value Problems ◽  
Krasnoselskii Fixed Point Theorem

In the present paper, we are concerned to prove under some hypothesis the existence of fixed points of the operator L defined on C(I) by Lu(t) = ?w0 G(t,s)h(s) f(u(s))ds, t ? I, ? ? {1,?}, where the functions f ? C([0,?); [0,?)), h ? C(I; [0,?)), G ? C(I x I) and (I = [0,1]; if ? = 1, I = [0,?), if ? = 1. By using Guo Krasnoselskii fixed point theorem, we establish the existence of at least one fixed point of the operator L.

Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth

2016 ◽  
Vol 59 (4) ◽  
pp. 925-944 ◽  
Author(s):  
Giovany M. Figueiredo ◽  
Mateus Balbino Guimarães ◽  
Rodrigo da Silva Rodrigues
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Existence Results ◽  
Kirchhoff Equation ◽  
Nonlinear Boundary Value Problems ◽  
Kirchhoff Type ◽  
Nonlinear Boundary Value

AbstractIn this paper we study the multiplicity of non-trivial solutions to a class of nonlinear boundary-value problems of Kirchhoff type. We prove existence results when the problem has nonlinearities with subcritical and with critical Caffarelli–Kohn–Nirenberg exponent.

Some New Existence Results for a Class of Four Point Nonlinear Boundary Value Problems

2019 ◽  
Vol 3 (1) ◽  
Author(s):  
Nazia Urus ◽  
Amit K. Verma ◽  
Mandeep Singh
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Iterative Scheme ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Point Boundary ◽  
Nonlinear Boundary Value Problems ◽  
Monotone Iterative

In this paper we consider the following class of four point boundary value problems—y"(x) = f (x, y), 0 less than x lessthan 1, y'(0) = 0, y(1) = 1y(1) + 2)7(2)’where 1, 2  0 lesstahn 1, 2 less than 1, and f (x, y), is continuous in one sided Lipschitz in y. We propose a monotone iterative scheme and show that under some sufficient conditions this scheme generates sequences which converges uniformly to solution of the nonlinear multipint boundary value problem.

scholarly journals On Types of Solutions of the Second Order Nonlinear Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Maria Dobkevich ◽  
Felix Sadyrbaev ◽  
Nadezhda Sveikate ◽  
Inara Yermachenko
Keyword(s):  
Nonlinear Equation ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Existence Results ◽  
Second Order ◽  
Nonlinear Boundary Value Problems ◽  
Multiplicity Results ◽  
Linear Differential ◽  
Order Nonlinear Equation

We review the results concerning types of solutions of boundary value problems for the second order nonlinear equation(l2x)(t)=f(t,x,x′),where(l2x)(t)is the second order linear differential form. The existence results and the multiplicity results are stated in terms of types of solutions.

Solvability of Some Singular Boundary Value Problems on the Semi-Infinite Interval

1996 ◽  
Vol 48 (1) ◽  
pp. 143-158 ◽  
Author(s):  
Donal O'Regan
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Existence Results ◽  
Nonlinear Boundary Value Problem ◽  
Infinite Interval ◽  
Singular Boundary ◽  
Singular Boundary Value Problems

AbstractExistence of solutions to the nonlinear boundary value problem on the semi-infinite interval bounded on [0, ∞), are established. In the process we obtain new existence results for boundary value problems on compact intervals.

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