[PDF] Top 20 Positive solutions to second-order singular nonlocal problems: existence and sharp conditions

... value problems with positive solutions originates from various real life problems, such as plasma physics, gas dynamics, and chemical ...value problems with positive ... See full document

... additional conditions if the general solution of a homogeneous equation is ...additional conditions if we know Green’s function for the same equation but with different additional ...5.4. Conditions ... See full document

... boundary-value problems with linear and nonlinear integral conditions have seen a great deal of study lately (see [–], and references therein) because of their in- teresting theory and their applications ... See full document

... for singular and nonsingular case, one can refer to ...fourth- order di ff erential ...the existence of the positive solutions and the multiple positive solutions for ... See full document

... With appropriate boundary value conditions, the existence of positive solution of equa- tion () is significant and helpful. The Liebau phenomenon, which is in honor of the physi- cian Liebauh’s ... See full document

... Inspired and motivated greatly by the above works, the aim of the paper is to consider the existence of positive solutions for the boundary value problem (.) under simpler conditions. The ... See full document

... the existence of triple positive solutions for a type of second-order singular boundary problems with general differential ...an existence criterion for at least ... See full document

... is different from [12, 32, 33] and more general integral boundary conditions which include as special cases the multi-point problems (1.3), (1.4) and integral problems (1.5), (1.6). Fi- nally, FBVP ... See full document

... the existence positive periodic solutions to second order differential equations with singular nonlinear ...one positive solutions under reasonable ... See full document

... the existence of periodic solutions of the second-order equation x f t, x , where f is a Carath´eodory function, by combining a new expression of Green’s function together with Dancer’s global ... See full document

... one positive solution for any α ∈ (0, α ∗ ), β ∈ (0, β ∗ ), λ ∈ (0, λ ∗ ), µ ∈ (0, µ ∗ ) and has no positive solution as satisfying at least one of α ∈ (α ∗ , ∞), β ∈ (β ∗ , ∞), λ ∈ (λ ∗ , ∞), µ ∈ (µ ∗ , ... See full document

... the existence of positive solutions of a nonlinear fractional heat equation with nonlocal boundary conditions depending on a positive ...the second-order thermostat ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...the existence of general nonlinear ... See full document

... value problems with integral boundary conditions appeared in heat conduction, chemical engineering underground water flow, thermoelasticity, and plasma ...of problems include two-point, three- point, ... See full document

... boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ ...the existence of at least one positive solution to the ...be singular at t = 0 and t = ... See full document

... boundary conditions associated with the li- near beam equation can be found in Zill and Cullen ...the existence and uniqueness of positive solutions for fourth-order singular ... See full document

... papers, positive solutions to differential equations with dependence on the first-order derivative have been investigated only for problems without deviating arguments, see [, , , , , , ... See full document

... In describing viscoelasticity, Heymans and Kitagawa [1] pointed out that the accuracy and success of the model are their abilities to describe natural phenomena including mem- ory effects in polymers. However, in many ... See full document

... and second authors were supported financially by the National Natural Science Foundation of China (10471075) and the State Ministry of Education Doctoral Foun- dation of China ... See full document

... of nonlocal evolution equations was initiated by Byszewski ...the existence of mild solutions to the differential inclusions ...the existence of mild solutions of the differential ... See full document