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Second order singular boundary value problems with integral boundary conditions
We study the second order singular boundary value problem Sufficient conditions are
obtained for the existence and uniqueness of positive solutions. The dependence of positive …
obtained for the existence and uniqueness of positive solutions. The dependence of positive …
Radially symmetric solutions of elliptic PDEs with uniformly negative weight
CS Goodrich - Annali di Matematica Pura ed Applicata (1923-), 2018 - Springer
We consider the perturbed Hammerstein integral equation y (t)= γ (t) H (φ (y))+ λ∫ 0 1 G (t,
s) f (s, y (s)) ds in the case where it may hold that f (t, y)< 0, for each (t, y)∈[0, 1]×[0,+∞), and …
s) f (s, y (s)) ds in the case where it may hold that f (t, y)< 0, for each (t, y)∈[0, 1]×[0,+∞), and …
Systems of semipositone discrete fractional boundary value problems
R Dahal, D Duncan, CS Goodrich - Journal of Difference …, 2014 - Taylor & Francis
We consider the existence of at least one positive solution to the discrete fractional system
where,. Due to the fact that and are allowed to be negative for some values of t,, and, we …
where,. Due to the fact that and are allowed to be negative for some values of t,, and, we …
Existence of positive solutions for third-order semipositone boundary value problems on time scales
In this paper, we consider the existence of positive solutions for a semipositone third-order
nonlinear ordinary differential equation on time scales. In suitable growth conditions, by …
nonlinear ordinary differential equation on time scales. In suitable growth conditions, by …
On semipositone discrete fractional boundary value problems with non-local boundary conditions
CS Goodrich - Journal of Difference Equations and Applications, 2013 - Taylor & Francis
We consider the existence of at least one positive solution to the discrete fractional equation,
where and, equipped with a two-point boundary condition that can possibly be both non …
where and, equipped with a two-point boundary condition that can possibly be both non …
Positive solutions for a semipositone fractional boundary value problem with a forcing term
RESEARCH PAPER POSITIVE SOLUTIONS FOR A SEMIPOSITONE FRACTIONAL BOUNDARY
VALUE PROBLEM WITH A FORCING TERM John R. Graef , Lingj Page 1 RESEARCH …
VALUE PROBLEM WITH A FORCING TERM John R. Graef , Lingj Page 1 RESEARCH …
Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions
We use a fixed point theorem due to Avery and Peterson to establish the existence of at least
three non-negative solutions of some nonlocal boundary value problems to third order …
three non-negative solutions of some nonlocal boundary value problems to third order …
Semipositone boundary value problems with nonlocal, nonlinear boundary conditions
CS Goodrich - 2015 - projecteuclid.org
We demonstrate the existence of at least one positive solution to-y''(t) &= λ f (t, y (t)), t ∈ (0,
1)\y (0) &= H (φ (y)), y (1)= 0,\notag where H:R→R is a continuous function and φ:C(0,1)→R …
1)\y (0) &= H (φ (y)), y (1)= 0,\notag where H:R→R is a continuous function and φ:C(0,1)→R …
A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs
CS Goodrich - Journal of Fixed Point Theory and Applications, 2017 - Springer
We consider the perturbed Hammerstein integral equation y (t)= γ _1 (t) H_1 (φ _1 (y))+ γ _2
(t) H_2 (φ _2 (y))+ λ ∫ _0^ 1G (t, s) f (s, y (s)) dsy (t)= γ 1 (t) H 1 (φ 1 (y))+ γ 2 (t) H 2 (φ 2 (y))+ …
(t) H_2 (φ _2 (y))+ λ ∫ _0^ 1G (t, s) f (s, y (s)) dsy (t)= γ 1 (t) H 1 (φ 1 (y))+ γ 2 (t) H 2 (φ 2 (y))+ …
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale
CS Goodrich - Commentationes Mathematicae Universitatis Carolinae, 2013 - dml.cz
We consider the existence of at least one positive solution to the dynamic boundary value
problem\begin {align*}-y^{\Delta\Delta}(t) &=\lambda f (t, y (t))\text {,} t\in [0, T] _ {\mathbb {T}} …
problem\begin {align*}-y^{\Delta\Delta}(t) &=\lambda f (t, y (t))\text {,} t\in [0, T] _ {\mathbb {T}} …