[PDF] Top 20 Nonlinear biharmonic boundary value problem

... We consider the nonlinear biharmonic equation with variable coefficient and polynomial growth nonlinearity and Dirichlet boundary condition. We get two theorems. One theorem says that there exists at ... See full document

... Singularly perturbed discrete systems (SPDSs) occur in engineering and applied mathematics. Contrary to the continuous-time counterpart, they could be char- acterized by numerous models (see [3], [12], [13], [14], [15], ... See full document

... consequently, operator T is continuous. All conditions of Schauder’s principle are valid. Therefore, the operator T has a fixed point, that is, the problem 1.1, 1.2 has a solution with indicated properties which ... See full document

... We investigate certain sum-di ff erence inequalities in two variables which provide explicit bounds on unknown functions. Our result enables us to solve those discrete inequalities considered by Sheng and Li 2008. ... See full document

... multipoint boundary value problems for linear second-order ordinary differential equations was initiated by Il’in and Moiseev ...three-point boundary value problems for nonlinear ... See full document

... The problem is formulated as nonlinear two-point boundary value problem, and the method of averaging is used to explore the effects of the nonlinearity of the graphene material on the ... See full document

... Kristály, A: Existence of two non-trivial solutions for a class of quasilinear elliptic variational systems on strip-like domains.. Liu, Q: Existence of three solutions for p ( x )-Lapla[r] ... See full document

... the boundary value ...the problem () if the given function f is of fast ...the boundary value problem () possesses only a trivial solution if f obeys the following slope ... See full document

... The purpose of this paper is to study the existence of solutions for nonlocal BVP 1.1, 1.2 at resonance case i.e., g1 1 and establish some existence results under nonlinear growth restriction of f . Our method is ... See full document

... “Singular boundary-value problems for ordinary second-order di ff erential equations,” Journal of Soviet Mathematics, ...Two-Point Boundary Value Problems: Lower and Upper Solutions, ... See full document

... This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem. We prove the ... See full document

... This paper proposes an analytical procedure for the nonlinear singular boundary value problem that arises in biology and in the study of some diseases. As a first step, we present a ... See full document

... to boundary condition (4) are derived by Xueqin Li and Minggen Cui ...of nonlinear third order boundary value ...the problem in the reproducing kernel Hilbert space W 1   0,1 ... See full document

... Motivated by the above works, in the present paper we establish some multiplicity re- sults for problem (.) under rather different assumptions on the functions f , h and g. It is worth noticing that in our ... See full document

... a boundary value problem for a nonlinear differential equation with ...the nonlinear boundary function is a nondecreas- ing one with respect to its second argument is ...the ... See full document

... In this paper we prove a new theorem on the modified p-factor operator which is some generalization of the Andronov-Hopf theorem. In this generalization we do not require that the Andronov-Hopf condition Re β () =  ... See full document

... We apply the method of generalized quasilinearization to nonlinear singular differential system with ‘maxima’. By assuming less restrictive conditions on the function f , we see that there exist two monotone ... See full document

... corresponding value of the energy gives the activation ...this boundary value problem is in practice very ...the problem of control of ... See full document

... Proof The proof of this theorem is divided into two steps. In the first part, by applying Theorem ., we prove the existence of a local minimum for the functional – λ, where (u) and (u) are functionals given in (.) for ... See full document

... an existence and uniqueness result for the damped problem holding for arbitrary initial values.. For this purpose we start from.[r] ... See full document