and Applied Analysis 3 1-homogeneous operator in a Banach space and then demonstrate its application in establishing the existence of positive solutions for p-Laplacian boundary value problems under certain conditions. (xi) In the paper titled âExistence of solutions for nonhomogeneous A-harmonic equations with variable growth,â the authors establish a theorem for the existence of weak solutions for nonhomogeneous A-harmonic equations in subspace and then give three examples to demonstrate its application. (xii) In the paper titled âMultiple solutions for degenerate elliptic systems near resonance at higher eigenvalues,â the authors study the degenerate semilinear elliptic system in an open bounded domain with smooth boundary, and some multiplicity results of solutions are obtained for the system near resonance at certain eigenvalues by the classical saddle point theorem and a local saddle point theorem in critical point theory. (xiii) In the paper titled âA regularity criterion for the Navier-Stokes equations in the multiplier spaces,â the authors establish a regularity criterion in terms of the pressure gradient for weak solutions to the NavierStokes equations in a special class. The third set of papers, including four papers, deal with several boundary value problems for highly nonlinear ordinary differential equations. (i) In the paper titled âPositive solutions for second-order singular semipositone differential equations involving Stieltjes integral conditions,â the authors investigate the existence of positive solutions for second-order singular differential equations with a negatively perturbed term, by means of the fixed-point theory in cones. (ii) In the paper titled âPositive solutions for Sturm-Liouville boundary value problems in a Banach Space,â the sufficient conditions for the existence of single and multiple positive solutions for a second-order SturmLiouville boundary value problem are established in a Banach space, by using the fixed-point theorem of strict set contraction operators in the frame of the ODE technique. (iii) In the paper titled âPositive solutions of a nonlinear fourth-order dynamic eigenvalue problem on time scales,â the authors study a nonlinear fourth-order dynamic eigenvalue problem on time scales and obtain the existence and nonexistence of positive solutions when 0 λ, respectively, for some λ, by using the Schauder fixed-point theorem and the upper and lower solution method. (iv) In the paper titled âBifurcation analysis for a predatorprey model with time delay and delay-dependent parameters,â a class of stage-structured predator-prey model with time delay and delay-dependent parameters is considered. By using the normal form theory and center manifold theory, some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifur-cating from Hopf bifurcations are obtained. The fourth set of papers focus on finding the approximate and numerical solutions of various complex nonlinear boundary value problems. (i) In the paper titled âOn spectral homotopy analysis method for solving linear Volterra and Fredholm integrodifferential equations,â a spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations, and some examples are given to test the efficiency and the accuracy of the proposed method. (ii) In the paper titled âThe solution of a class of singularly perturbed two-point boundary value problems by the iterative reproducing kernel method,â the authors establish an iterative reproducing kernel method (IRKM) for solving singular perturbation problems with boundary layers and give two numerical examples to demonstrate the effectiveness of the method. (iii) In the paper titled âA Galerkin solution for Burgersâ equation using cubic B-spline finite elements,â a Galerkin method using cubic B-splines is set up to find the numerical solutions of Burgersâ equation, and the method is shown to be capable of solving Burgersâ equation accurately for values of viscosity ranging from very small to very large. (iv) In the paper titled âForward-backward splitting methods for accretive operators in Banach spaces,â the authors introduce two iterative forward-backward splitting methods with relaxations to find zeros of the sum of two accretive operators in Banach spaces and prove the weak and strong convergence of these methods under mild conditions, and also discuss applications of these methods to variational inequalities, the split feasibility problem, and a constrained convex minimization problem. 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