Author | Krasnosel'skii, Alexander M. author |
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Title | Asymptotics of Nonlinearities and Operator Equations [electronic resource] / by Alexander M. Krasnosel'skii |
Imprint | Basel : Birkhรคuser Basel, 1995 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9082-3 |
Descript | 278 p. online resource |
Foreword -- 1: Norm estimates for solutions of integral-functional inequalities -- ยง1. Distribution functions -- ยง2. Estimates for solutions of the basic integral-functional inequality -- ยง3. Proof of Theorem 2.2 -- ยง4. A second integral-functional inequality -- ยง5. Proofs of Theorems 4.1-4.4 -- ยง6. Additional remarks -- 2: Two-sided estimates for nonlinearities -- ยง7. Equations with self-adjoint and normal operators -- ยง8. Solvability of equations in case the solutions do not admit a priori norm estimates -- ยง9. Proofs of Theorems 8.1 and 8.2 -- ยง10. Two-point boundary value problems -- ยง11. Forced oscillations in control systems -- 3: The use of arguments of leading eigenvalues -- ยง12. Use of the arguments principle -- ยง13. Joint norms of operators -- ยง14. Two-point boundary value problems (the nonquasilinear case) -- ยง15. Forced oscillations in quasilinear systems -- ยง16. Forced oscillations in systems with delay -- ยง17. Remarks on forced oscillations in systems with control by derivatives -- ยง18. Extensions of the joint norm method -- 4: Weak nonlinear it ies -- ยง19. Equations with weak nonlinearities -- ยง20. Equations with normal operators -- ยง21. Auxiliary results -- ยง22. Equations with nonnormal operators -- ยง23. Integral equations with nonnegative kernels -- ยง24. Landesman-Lazer type theorems -- ยง25. Asymptotic bifurcation points -- 5: One-sided estimates for nonlinearities -- ยง26. Positive linear operators -- ยง27. Solvability of nonlinear operator equations with positive linear part -- ยง28. Equations with strictly positive operators -- ยง29. Two-point boundary value problems (the quasilinear case) -- ยง30. Potential positivity of the periodic problem operator -- ยง31. Multiply-connected control systems -- ยง32. One-sided estimates in nonquasilinear problems -- ยง33. First order equations with variable coefficients -- ยง34. Variational methods -- References -- List of Symbols