[PDF] Top 20 Existence of Solutions to Nonlinear Boundary Value Problems at Resonance.

... the existence of solutions is relatively straightforward when L is invertible, the more interesting case is when ker(L) or, equivalently, ker(B + DΓ(1)) is ...of problems in differential and difference ... See full document

... Fractional differential equations arise in various areas of physics and applied mathematics and have recently become a powerful tool in modeling of many physical phenomena (for instance, see [–] and the references ... See full document

... The existence of solutions for integer order differential equations with specific boundary conditions and resonance scenarios have been studied by many authors (see [–] and the references ... See full document

... the existence and multiplicity of solutions for ...the existence and multiplicity of positive solutions for the FBVPs by means of some fixed-point theorems on ...the existence of ... See full document

... the existence of solutions for an impulsive p-Laplacian boundary value problem with integral boundary condition at resonance on the ... See full document

... Boundary value problems at resonance have attracted more and more ...the existence of solutions for these problems by using Mawhin’s continuous theorem [] and its ... See full document

... of nonlinear boundary value ...the existence of solutions to both impulsive differential equations and discrete-time difference ...of resonance; that is, the case where the ... See full document

... the existence of solutions for multipoint boundary value problems (BVPs for short in the remaining) at nonresonance of FDEs (see ...the existence of solutions for a ... See full document

... In the last few decades, many authors have investigated fractional differential equations which have been applied in many fields such as physics, mechanics, chemistry, engineer- ing etc. (see references [, , , –]). ... See full document

... A boundary value problem is said to be at resonance one if the corresponding homoge- neous boundary value problem has non-trivial ...the boundary value problems at ... See full document

... integral boundary value problems at resonance is investigated in this ...intermediate value theorems, we obtain a sufficient condition for the existence of the solution for the ... See full document

... It is well-known that [17,18] if the second order linear Equation (1.4) has a positive solution or nonoscillatory at ∞, then there exist two linearly independent solutions u(t) and v(t), called principal and ... See full document

... the existence and multiplicity of solutions for the three-point nonlinear bound- ary value problem u (t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1) − γu(η), where η ∈ (0, 1), γ ∈ [0, ... See full document

... The main features in this paper are as follows. First, we study two new multi-point BVPs on time scales at resonance, which have rarely been considered, and thus we need to over- come some new difficulties. Second, ... See full document

... In this work, relationship between existence of solutions for classes of nonlinear boundary value problems with equations of the form 1.1 and the smallest.. or the largest eigenvalue of [r] ... See full document

... and Boundary Value Problems for Nonlinear Differential Equations in Topological Methods for Ordinary Differential ...A Boundary Value Problem of Fractional Order at ... See full document

... x atx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green’s functions, eigenvalues, rotation numbers, and their estimates, he gave several ... See full document

... of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector theory, combustion and management of ... See full document

... Similar reason, the results in 12, 13 are also incorrect, as they deal with the nonlinear systems. Under the boundary condition 1.3, we could avoid 3.31 to occur. With the similar argument of Theorem 3.4, ... See full document

... the existence of positive solutions of Sturm-Liouville boundary value ...the boundary value problem models a wide spectrum of nonlinear phenomena, such as gas diffusion ... See full document